50 soal probabilitas.docx

8/10/2019 50 soal probabilitas.docx

1/17

50 SOAL TANYA-JAWAB TEORI PROBABILITAS
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2/17
http://3.bp.blogspot.com/-GiT8C0nyZ00/UGQfOc5MwVI/AAAAAAAAAGQ/gFpNnMg_I4Q/s1600/n7.jpghttp://3.bp.blogspot.com/-WusrY-Jhn_c/UGQfCmZ-lBI/AAAAAAAAAGA/mOWIBOq5gkA/s1600/n6(2).jpghttp://1.bp.blogspot.com/-GTxVMSgV8ww/UGQfKJN2bnI/AAAAAAAAAGI/Rque3wwVrp4/s1600/n6.jpghttp://3.bp.blogspot.com/-sfB5AZMlLCc/UGQe3bcWHFI/AAAAAAAAAFw/YFDcFWcIrLk/s1600/n5.jpghttp://2.bp.blogspot.com/-Fccl0uvAbqY/UGQdu_-MXVI/AAAAAAAAAEo/s_PhKafvEWQ/s1600/n4.jpghttp://3.bp.blogspot.com/-GiT8C0nyZ00/UGQfOc5MwVI/AAAAAAAAAGQ/gFpNnMg_I4Q/s1600/n7.jpghttp://3.bp.blogspot.com/-WusrY-Jhn_c/UGQfCmZ-lBI/AAAAAAAAAGA/mOWIBOq5gkA/s1600/n6(2).jpghttp://1.bp.blogspot.com/-GTxVMSgV8ww/UGQfKJN2bnI/AAAAAAAAAGI/Rque3wwVrp4/s1600/n6.jpghttp://3.bp.blogspot.com/-sfB5AZMlLCc/UGQe3bcWHFI/AAAAAAAAAFw/YFDcFWcIrLk/s1600/n5.jpghttp://2.bp.blogspot.com/-Fccl0uvAbqY/UGQdu_-MXVI/AAAAAAAAAEo/s_PhKafvEWQ/s1600/n4.jpghttp://3.bp.blogspot.com/-GiT8C0nyZ00/UGQfOc5MwVI/AAAAAAAAAGQ/gFpNnMg_I4Q/s1600/n7.jpghttp://3.bp.blogspot.com/-WusrY-Jhn_c/UGQfCmZ-lBI/AAAAAAAAAGA/mOWIBOq5gkA/s1600/n6(2).jpghttp://1.bp.blogspot.com/-GTxVMSgV8ww/UGQfKJN2bnI/AAAAAAAAAGI/Rque3wwVrp4/s1600/n6.jpghttp://3.bp.blogspot.com/-sfB5AZMlLCc/UGQe3bcWHFI/AAAAAAAAAFw/YFDcFWcIrLk/s1600/n5.jpghttp://2.bp.blogspot.com/-Fccl0uvAbqY/UGQdu_-MXVI/AAAAAAAAAEo/s_PhKafvEWQ/s1600/n4.jpghttp://3.bp.blogspot.com/-GiT8C0nyZ00/UGQfOc5MwVI/AAAAAAAAAGQ/gFpNnMg_I4Q/s1600/n7.jpghttp://3.bp.blogspot.com/-WusrY-Jhn_c/UGQfCmZ-lBI/AAAAAAAAAGA/mOWIBOq5gkA/s1600/n6(2).jpghttp://1.bp.blogspot.com/-GTxVMSgV8ww/UGQfKJN2bnI/AAAAAAAAAGI/Rque3wwVrp4/s1600/n6.jpghttp://3.bp.blogspot.com/-sfB5AZMlLCc/UGQe3bcWHFI/AAAAAAAAAFw/YFDcFWcIrLk/s1600/n5.jpghttp://2.bp.blogspot.com/-Fccl0uvAbqY/UGQdu_-MXVI/AAAAAAAAAEo/s_PhKafvEWQ/s1600/n4.jpghttp://3.bp.blogspot.com/-GiT8C0nyZ00/UGQfOc5MwVI/AAAAAAAAAGQ/gFpNnMg_I4Q/s1600/n7.jpghttp://3.bp.blogspot.com/-WusrY-Jhn_c/UGQfCmZ-lBI/AAAAAAAAAGA/mOWIBOq5gkA/s1600/n6(2).jpghttp://1.bp.blogspot.com/-GTxVMSgV8ww/UGQfKJN2bnI/AAAAAAAAAGI/Rque3wwVrp4/s1600/n6.jpghttp://3.bp.blogspot.com/-sfB5AZMlLCc/UGQe3bcWHFI/AAAAAAAAAFw/YFDcFWcIrLk/s1600/n5.jpghttp://2.bp.blogspot.com/-Fccl0uvAbqY/UGQdu_-MXVI/AAAAAAAAAEo/s_PhKafvEWQ/s1600/n4.jpg


3/17
http://2.bp.blogspot.com/-HNWwptyFIJw/UGQaWm3AB0I/AAAAAAAAABI/LZg8S4s8y9I/s1600/n10.jpghttp://2.bp.blogspot.com/-5LT_-hXgNuQ/UGQfehQ_ohI/AAAAAAAAAGg/hXQgm2WPJgM/s1600/n9.jpghttp://1.bp.blogspot.com/-KmrBNRszBpg/UGQfSwYhVuI/AAAAAAAAAGY/rG3omQM64xI/s1600/n8.jpghttp://2.bp.blogspot.com/-HNWwptyFIJw/UGQaWm3AB0I/AAAAAAAAABI/LZg8S4s8y9I/s1600/n10.jpghttp://2.bp.blogspot.com/-5LT_-hXgNuQ/UGQfehQ_ohI/AAAAAAAAAGg/hXQgm2WPJgM/s1600/n9.jpghttp://1.bp.blogspot.com/-KmrBNRszBpg/UGQfSwYhVuI/AAAAAAAAAGY/rG3omQM64xI/s1600/n8.jpghttp://2.bp.blogspot.com/-HNWwptyFIJw/UGQaWm3AB0I/AAAAAAAAABI/LZg8S4s8y9I/s1600/n10.jpghttp://2.bp.blogspot.com/-5LT_-hXgNuQ/UGQfehQ_ohI/AAAAAAAAAGg/hXQgm2WPJgM/s1600/n9.jpghttp://1.bp.blogspot.com/-KmrBNRszBpg/UGQfSwYhVuI/AAAAAAAAAGY/rG3omQM64xI/s1600/n8.jpg


4/17
http://3.bp.blogspot.com/-DZ_UFkZycSM/UGQa_ruOEbI/AAAAAAAAABo/r4oVDMkVxiA/s1600/n14.jpghttp://3.bp.blogspot.com/-Os2xRl9Ax28/UGQa2xu4SDI/AAAAAAAAABg/COtKRhns4Oc/s1600/n13.jpghttp://4.bp.blogspot.com/-g_oX4F7O_Aw/UGQaua1aHEI/AAAAAAAAABY/Uj7ulXFcy5U/s1600/n12.jpghttp://4.bp.blogspot.com/-nzrO7mum8JE/UGQamUjWhyI/AAAAAAAAABQ/mryAObO8ES0/s1600/n11.jpghttp://3.bp.blogspot.com/-DZ_UFkZycSM/UGQa_ruOEbI/AAAAAAAAABo/r4oVDMkVxiA/s1600/n14.jpghttp://3.bp.blogspot.com/-Os2xRl9Ax28/UGQa2xu4SDI/AAAAAAAAABg/COtKRhns4Oc/s1600/n13.jpghttp://4.bp.blogspot.com/-g_oX4F7O_Aw/UGQaua1aHEI/AAAAAAAAABY/Uj7ulXFcy5U/s1600/n12.jpghttp://4.bp.blogspot.com/-nzrO7mum8JE/UGQamUjWhyI/AAAAAAAAABQ/mryAObO8ES0/s1600/n11.jpghttp://3.bp.blogspot.com/-DZ_UFkZycSM/UGQa_ruOEbI/AAAAAAAAABo/r4oVDMkVxiA/s1600/n14.jpghttp://3.bp.blogspot.com/-Os2xRl9Ax28/UGQa2xu4SDI/AAAAAAAAABg/COtKRhns4Oc/s1600/n13.jpghttp://4.bp.blogspot.com/-g_oX4F7O_Aw/UGQaua1aHEI/AAAAAAAAABY/Uj7ulXFcy5U/s1600/n12.jpghttp://4.bp.blogspot.com/-nzrO7mum8JE/UGQamUjWhyI/AAAAAAAAABQ/mryAObO8ES0/s1600/n11.jpghttp://3.bp.blogspot.com/-DZ_UFkZycSM/UGQa_ruOEbI/AAAAAAAAABo/r4oVDMkVxiA/s1600/n14.jpghttp://3.bp.blogspot.com/-Os2xRl9Ax28/UGQa2xu4SDI/AAAAAAAAABg/COtKRhns4Oc/s1600/n13.jpghttp://4.bp.blogspot.com/-g_oX4F7O_Aw/UGQaua1aHEI/AAAAAAAAABY/Uj7ulXFcy5U/s1600/n12.jpghttp://4.bp.blogspot.com/-nzrO7mum8JE/UGQamUjWhyI/AAAAAAAAABQ/mryAObO8ES0/s1600/n11.jpg


5/17
http://1.bp.blogspot.com/-jqcPfLCGoC4/UGQbhTeXFPI/AAAAAAAAACI/z0qWsKLjf4o/s1600/n18.jpghttp://3.bp.blogspot.com/-vBgkFs71Tuw/UGQbcYdqz7I/AAAAAAAAACA/-Y0oH5TYR1c/s1600/n17.jpghttp://2.bp.blogspot.com/-3vE4pUWpBIg/UGQbPTNmW1I/AAAAAAAAAB4/_ZnjuXiHWHE/s1600/n16.jpghttp://3.bp.blogspot.com/-6-imUvf4BqA/UGQbHC1ye3I/AAAAAAAAABw/5rCs7zng5_4/s1600/n15.jpghttp://1.bp.blogspot.com/-jqcPfLCGoC4/UGQbhTeXFPI/AAAAAAAAACI/z0qWsKLjf4o/s1600/n18.jpghttp://3.bp.blogspot.com/-vBgkFs71Tuw/UGQbcYdqz7I/AAAAAAAAACA/-Y0oH5TYR1c/s1600/n17.jpghttp://2.bp.blogspot.com/-3vE4pUWpBIg/UGQbPTNmW1I/AAAAAAAAAB4/_ZnjuXiHWHE/s1600/n16.jpghttp://3.bp.blogspot.com/-6-imUvf4BqA/UGQbHC1ye3I/AAAAAAAAABw/5rCs7zng5_4/s1600/n15.jpghttp://1.bp.blogspot.com/-jqcPfLCGoC4/UGQbhTeXFPI/AAAAAAAAACI/z0qWsKLjf4o/s1600/n18.jpghttp://3.bp.blogspot.com/-vBgkFs71Tuw/UGQbcYdqz7I/AAAAAAAAACA/-Y0oH5TYR1c/s1600/n17.jpghttp://2.bp.blogspot.com/-3vE4pUWpBIg/UGQbPTNmW1I/AAAAAAAAAB4/_ZnjuXiHWHE/s1600/n16.jpghttp://3.bp.blogspot.com/-6-imUvf4BqA/UGQbHC1ye3I/AAAAAAAAABw/5rCs7zng5_4/s1600/n15.jpghttp://1.bp.blogspot.com/-jqcPfLCGoC4/UGQbhTeXFPI/AAAAAAAAACI/z0qWsKLjf4o/s1600/n18.jpghttp://3.bp.blogspot.com/-vBgkFs71Tuw/UGQbcYdqz7I/AAAAAAAAACA/-Y0oH5TYR1c/s1600/n17.jpghttp://2.bp.blogspot.com/-3vE4pUWpBIg/UGQbPTNmW1I/AAAAAAAAAB4/_ZnjuXiHWHE/s1600/n16.jpghttp://3.bp.blogspot.com/-6-imUvf4BqA/UGQbHC1ye3I/AAAAAAAAABw/5rCs7zng5_4/s1600/n15.jpg


6/17

Soal 22-23Dalam setangan permainan poker terdapat 5 kartu , Hitunglah:
http://4.bp.blogspot.com/-2wFtebiBrD0/UGQcZDdKGLI/AAAAAAAAADA/uLLBrcYThjg/s1600/n25.jpghttp://4.bp.blogspot.com/-UNzSviugP3c/UGQcTYEPa7I/AAAAAAAAAC4/KA4PgYuElvY/s1600/n24.jpghttp://1.bp.blogspot.com/-1mMVB-gatC8/UGQcOuEEEfI/AAAAAAAAACw/D9UG1_gYWP4/s1600/n22-23.jpghttp://1.bp.blogspot.com/-mqMX_ImYNSE/UGQbsk245-I/AAAAAAAAACQ/T6xOqZ68yjY/s1600/n19.jpghttp://4.bp.blogspot.com/-2wFtebiBrD0/UGQcZDdKGLI/AAAAAAAAADA/uLLBrcYThjg/s1600/n25.jpghttp://4.bp.blogspot.com/-UNzSviugP3c/UGQcTYEPa7I/AAAAAAAAAC4/KA4PgYuElvY/s1600/n24.jpghttp://1.bp.blogspot.com/-1mMVB-gatC8/UGQcOuEEEfI/AAAAAAAAACw/D9UG1_gYWP4/s1600/n22-23.jpghttp://1.bp.blogspot.com/-mqMX_ImYNSE/UGQbsk245-I/AAAAAAAAACQ/T6xOqZ68yjY/s1600/n19.jpghttp://4.bp.blogspot.com/-2wFtebiBrD0/UGQcZDdKGLI/AAAAAAAAADA/uLLBrcYThjg/s1600/n25.jpghttp://4.bp.blogspot.com/-UNzSviugP3c/UGQcTYEPa7I/AAAAAAAAAC4/KA4PgYuElvY/s1600/n24.jpghttp://1.bp.blogspot.com/-1mMVB-gatC8/UGQcOuEEEfI/AAAAAAAAACw/D9UG1_gYWP4/s1600/n22-23.jpghttp://1.bp.blogspot.com/-mqMX_ImYNSE/UGQbsk245-I/AAAAAAAAACQ/T6xOqZ68yjY/s1600/n19.jpghttp://4.bp.blogspot.com/-2wFtebiBrD0/UGQcZDdKGLI/AAAAAAAAADA/uLLBrcYThjg/s1600/n25.jpghttp://4.bp.blogspot.com/-UNzSviugP3c/UGQcTYEPa7I/AAAAAAAAAC4/KA4PgYuElvY/s1600/n24.jpghttp://1.bp.blogspot.com/-1mMVB-gatC8/UGQcOuEEEfI/AAAAAAAAACw/D9UG1_gYWP4/s1600/n22-23.jpghttp://1.bp.blogspot.com/-mqMX_ImYNSE/UGQbsk245-I/AAAAAAAAACQ/T6xOqZ68yjY/s1600/n19.jpg


7/17

Soal 29-30

Sekantung permen berisi 6 rasa jeruk , 4rasa kopi dan 3 rasa coklat.

Bila seseoranng mengambil satu permen secara acak carilah peluang

untuk mendapatkan :

Soal 31-34

A bowl contain 20 balls , of wich 9 are red , 8 are white ,

and 3 are blie. Six balls are taken randomly and without .
http://2.bp.blogspot.com/-nVynrhQNFm0/UGQc42bL5dI/AAAAAAAAADg/NBaqCNcVnRA/s1600/n29-30.jpghttp://1.bp.blogspot.com/-bmHk7Gm0_UM/UGQcwN5DpDI/AAAAAAAAADY/lBJ1wxw40g8/s1600/n28.jpghttp://2.bp.blogspot.com/-zGba8NRTCPE/UGQclHklWzI/AAAAAAAAADQ/q5l0s0p-c_4/s1600/n27.jpghttp://3.bp.blogspot.com/-mZidJ2chr0M/UGQcf-rcDdI/AAAAAAAAADI/SIVr-hqCPnY/s1600/n26.jpghttp://2.bp.blogspot.com/-nVynrhQNFm0/UGQc42bL5dI/AAAAAAAAADg/NBaqCNcVnRA/s1600/n29-30.jpghttp://1.bp.blogspot.com/-bmHk7Gm0_UM/UGQcwN5DpDI/AAAAAAAAADY/lBJ1wxw40g8/s1600/n28.jpghttp://2.bp.blogspot.com/-zGba8NRTCPE/UGQclHklWzI/AAAAAAAAADQ/q5l0s0p-c_4/s1600/n27.jpghttp://3.bp.blogspot.com/-mZidJ2chr0M/UGQcf-rcDdI/AAAAAAAAADI/SIVr-hqCPnY/s1600/n26.jpghttp://2.bp.blogspot.com/-nVynrhQNFm0/UGQc42bL5dI/AAAAAAAAADg/NBaqCNcVnRA/s1600/n29-30.jpghttp://1.bp.blogspot.com/-bmHk7Gm0_UM/UGQcwN5DpDI/AAAAAAAAADY/lBJ1wxw40g8/s1600/n28.jpghttp://2.bp.blogspot.com/-zGba8NRTCPE/UGQclHklWzI/AAAAAAAAADQ/q5l0s0p-c_4/s1600/n27.jpghttp://3.bp.blogspot.com/-mZidJ2chr0M/UGQcf-rcDdI/AAAAAAAAADI/SIVr-hqCPnY/s1600/n26.jpghttp://2.bp.blogspot.com/-nVynrhQNFm0/UGQc42bL5dI/AAAAAAAAADg/NBaqCNcVnRA/s1600/n29-30.jpghttp://1.bp.blogspot.com/-bmHk7Gm0_UM/UGQcwN5DpDI/AAAAAAAAADY/lBJ1wxw40g8/s1600/n28.jpghttp://2.bp.blogspot.com/-zGba8NRTCPE/UGQclHklWzI/AAAAAAAAADQ/q5l0s0p-c_4/s1600/n27.jpghttp://3.bp.blogspot.com/-mZidJ2chr0M/UGQcf-rcDdI/AAAAAAAAADI/SIVr-hqCPnY/s1600/n26.jpg


8/17

Replacement .Find the probability of:

31. Each of 6 balls are red ?

32. Each of 5 balls is white ?

33. There are 3 red,2 white,1blue balls among 6balls selected ?

34. None of the 6 balls is blue?
http://4.bp.blogspot.com/-Sr8nNaGyOsk/UGQdWkxNwFI/AAAAAAAAAEI/w4JIUBg19L4/s1600/n36.jpghttp://3.bp.blogspot.com/-dOoRb1mThHY/UGQdQosO8-I/AAAAAAAAAEA/yJTqxSTiYms/s1600/n35.jpghttp://1.bp.blogspot.com/-0pZ58ogbD7I/UGQdL66ZRXI/AAAAAAAAAD4/O2PcepeTTCg/s1600/n31-34.jpghttp://4.bp.blogspot.com/-Sr8nNaGyOsk/UGQdWkxNwFI/AAAAAAAAAEI/w4JIUBg19L4/s1600/n36.jpghttp://3.bp.blogspot.com/-dOoRb1mThHY/UGQdQosO8-I/AAAAAAAAAEA/yJTqxSTiYms/s1600/n35.jpghttp://1.bp.blogspot.com/-0pZ58ogbD7I/UGQdL66ZRXI/AAAAAAAAAD4/O2PcepeTTCg/s1600/n31-34.jpghttp://4.bp.blogspot.com/-Sr8nNaGyOsk/UGQdWkxNwFI/AAAAAAAAAEI/w4JIUBg19L4/s1600/n36.jpghttp://3.bp.blogspot.com/-dOoRb1mThHY/UGQdQosO8-I/AAAAAAAAAEA/yJTqxSTiYms/s1600/n35.jpghttp://1.bp.blogspot.com/-0pZ58ogbD7I/UGQdL66ZRXI/AAAAAAAAAD4/O2PcepeTTCg/s1600/n31-34.jpg


9/17

Soal 41-42

Dalam seminggu rata-rata terjadi 7kali salah sambung.Berapa peluang

bahwa esok hari akan terjadi salah sambung, jika :
http://2.bp.blogspot.com/-zJnO9ftK7s4/UGQd9Ry14vI/AAAAAAAAAE4/S05_nHrFQxM/s1600/n41-42.jpghttp://1.bp.blogspot.com/-h9VPg5n4O9w/UGQd3VzEiQI/AAAAAAAAAEw/N-n7oOt15sI/s1600/n40.jpghttp://4.bp.blogspot.com/-Fot7XxEu6N4/UGQdqDbtzBI/AAAAAAAAAEg/gHSEd3T0JiE/s1600/n39.jpghttp://4.bp.blogspot.com/--SQWBc-6Lp4/UGQdklrl48I/AAAAAAAAAEY/TSBZP3J_-ZI/s1600/n38.jpghttp://4.bp.blogspot.com/-7RkFdh7jvrA/UGQdc2wW3NI/AAAAAAAAAEQ/jGKxP4WLLmE/s1600/n37.jpghttp://2.bp.blogspot.com/-zJnO9ftK7s4/UGQd9Ry14vI/AAAAAAAAAE4/S05_nHrFQxM/s1600/n41-42.jpghttp://1.bp.blogspot.com/-h9VPg5n4O9w/UGQd3VzEiQI/AAAAAAAAAEw/N-n7oOt15sI/s1600/n40.jpghttp://4.bp.blogspot.com/-Fot7XxEu6N4/UGQdqDbtzBI/AAAAAAAAAEg/gHSEd3T0JiE/s1600/n39.jpghttp://4.bp.blogspot.com/--SQWBc-6Lp4/UGQdklrl48I/AAAAAAAAAEY/TSBZP3J_-ZI/s1600/n38.jpghttp://4.bp.blogspot.com/-7RkFdh7jvrA/UGQdc2wW3NI/AAAAAAAAAEQ/jGKxP4WLLmE/s1600/n37.jpghttp://2.bp.blogspot.com/-zJnO9ftK7s4/UGQd9Ry14vI/AAAAAAAAAE4/S05_nHrFQxM/s1600/n41-42.jpghttp://1.bp.blogspot.com/-h9VPg5n4O9w/UGQd3VzEiQI/AAAAAAAAAEw/N-n7oOt15sI/s1600/n40.jpghttp://4.bp.blogspot.com/-Fot7XxEu6N4/UGQdqDbtzBI/AAAAAAAAAEg/gHSEd3T0JiE/s1600/n39.jpghttp://4.bp.blogspot.com/--SQWBc-6Lp4/UGQdklrl48I/AAAAAAAAAEY/TSBZP3J_-ZI/s1600/n38.jpghttp://4.bp.blogspot.com/-7RkFdh7jvrA/UGQdc2wW3NI/AAAAAAAAAEQ/jGKxP4WLLmE/s1600/n37.jpghttp://2.bp.blogspot.com/-zJnO9ftK7s4/UGQd9Ry14vI/AAAAAAAAAE4/S05_nHrFQxM/s1600/n41-42.jpghttp://1.bp.blogspot.com/-h9VPg5n4O9w/UGQd3VzEiQI/AAAAAAAAAEw/N-n7oOt15sI/s1600/n40.jpghttp://4.bp.blogspot.com/-Fot7XxEu6N4/UGQdqDbtzBI/AAAAAAAAAEg/gHSEd3T0JiE/s1600/n39.jpghttp://4.bp.blogspot.com/--SQWBc-6Lp4/UGQdklrl48I/AAAAAAAAAEY/TSBZP3J_-ZI/s1600/n38.jpghttp://4.bp.blogspot.com/-7RkFdh7jvrA/UGQdc2wW3NI/AAAAAAAAAEQ/jGKxP4WLLmE/s1600/n37.jpghttp://2.bp.blogspot.com/-zJnO9ftK7s4/UGQd9Ry14vI/AAAAAAAAAE4/S05_nHrFQxM/s1600/n41-42.jpghttp://1.bp.blogspot.com/-h9VPg5n4O9w/UGQd3VzEiQI/AAAAAAAAAEw/N-n7oOt15sI/s1600/n40.jpghttp://4.bp.blogspot.com/-Fot7XxEu6N4/UGQdqDbtzBI/AAAAAAAAAEg/gHSEd3T0JiE/s1600/n39.jpghttp://4.bp.blogspot.com/--SQWBc-6Lp4/UGQdklrl48I/AAAAAAAAAEY/TSBZP3J_-ZI/s1600/n38.jpghttp://4.bp.blogspot.com/-7RkFdh7jvrA/UGQdc2wW3NI/AAAAAAAAAEQ/jGKxP4WLLmE/s1600/n37.jpg


10/17

Soal 43-44

Rata-rata mobil yang datang setiap 15 meniit adalah 6 mobil.

Hitunglah peluang modal yang datang pada setiap 15 menit berikut :

Soal 45-46

Dari 20 kartu terdapat 4 kartu AS. Sebuah sample 5 kartu diambildari 20 kartu tersebut. Tentukan peluang terpilih 2 kartu AS, Jika :
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S
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1. sembilan belas buku diletakkan dalam rak, terdiri dari empat jenis buku yakni 3 bukukalkulus, 7 buku alpro, 5 buku peluang, dan 4 buku statistik berapa probabilitas buku-buku

yang sejenis diletakkan bersama-sama?

pembahasan :

jika buku-buku yang sejenis ditempatkan bersama-sama maka buku kalkulus dapat disusun

dalam 3! cara, alpro dalam 7! cara, buku peluang dalam 5! cara, dan statistik dalam 4! cara.

banyaknya cara penyusunan 19 buku adalah 19 faktorial

banyaknya cara penyusunan ke-4 jenis buku adalah 4 faktorial

maka probabilitas penyusunan buku secara bersama-sama adalah

3!7!5!4!4!/19! = 1/58198140

2. jika diketahui probabilitas satu orang Mahasiswa tingkat satu tidak selesai dalam 4 tahun di

perguruan tinggi adalah 1/3, berapakah probabilitas bahwa 4 mahasiswa tingkat satu akan

selesai semua dalam 4 tahun?

pembahasan :

probabilitas selesai dalam 4 tahun = 1-1/3= 2/3

probabilitas ke-4 mahasiswa selesai adalah (2/3)^4=16/81

Contoh soal dan pembahasan

Pilihlah salah satu jawaban yang benar !

1.Berapa banyak kemungkinan susunan ketua,sektetaris,dan bendahara jika di pilih dari


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10 orang adalah

A.120 D.720

B.360 E.1000

C.480

Pembahasan:

Perhatikan bahwa dalam kasus ini urutn diperhatikan,yaitu jikaAterpilih sebagai ketua danB

sebagai sekretaris berbeda dengan jika B terpilih sebagi ketua dan A sebagai

sekretaris.Demikian,kasus ini merupakan permutasi 3 unsur dari 10 yang tersedia,yaitu

10P3 = 10!

(10-3)!

= 10!

7!

= 10x9x8x7

8!

=10x9x8

= 720

Jawaban : D

2. Diketahui 4 buku matematika berbeda, 2 buku fisika berbeda,dan 3 buku biologi

buku-buku tersebut akan akan disusun berjajar dalam rak,jika buku-buku sejenis

harus berdekatan

A. 172 D.36.288

B.1.728 E.362.880

C.17.280

Pembahasan :

Terdapat tig jenis buku ,yaitu matematika ,fisika,dan biologi.Banyak susunan setiap jens

Buku ada 3!,kemudian masing-masing buku dalam setiap jenisnya dapat berpermutasi di

Antara mereka sendiri.

Permutasi buku matematika 4!,buku fisika 2!,buku biologi 3!

Karena permutasi antar jenis buku dan antar buku sejenis saling bebas maka jumlah

Permutasi diperoleh dari aturan perkalian.Sehingga jumlah keseluruan adalah

3!4!2!3!=1.728 susunan.

Jawaban : B


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3. Banyak permutasi yang terdiri dari empat huruf yang di ambil dari huruf-hurufM,A,M

DanAadalah

A. 2 D. 8

B.4 E. 10

C.6

Pembahasan :

n = 4, n1 = 2 (ada dua huruf M), dan n2 = 2 (ada dua huruf A

4P(2,2)=4!= 4 x 3 x 2! =4x3=12=6

2!2! 2! 2! 2x1 2

Jawaban : C

4. Banyak susunan 8 huruf yang di ambil dari huruf-hurufN,O,N,A,M,O,N,danAadalah

A.8 D.3.360

B.64 E.5.040

C.1.680

Pembahasan :

HurufNdiulang sebanyak 3 kali,huruf O di ulang sebanyak 2 kali, hurufAdiulang se

Banyak 2 kali danM diulang sekali sehingga banyaknya susunan huruf adalah :

8P(3 2 2)=8!

3! 2! 2!

=8x7x6x5x4x3!

3!2!2!

=8x7x6x5=1.680

Jawaban : C

5. Diketahui siswaA,B,C,D danEakan duduk melingkar.Banyaknya permutasi siklis,

Jika A danBselalu berdekatan .

A.6 D.24

B.12 E.30

C.18

Pembahasan:

AnggapAdanBsebagai satu unsure ( n=4) sehingga P siklis =( 4 -1)!=3!=6

Akan tetapi ,A danB dapat bermutalasi antara mereka sendiri sebanyak 2!

Jadi,seluruh permutasi adalah 6x2=12


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Jawaban :B

6.Dalam sebuah kantong terdapat 5 bola merah dan 3 putih banyak cara untuk

mengambil 3 bola dari kantong tersebut sehingga ketiga bola tersebut terdiri dari 2

merah dan 1 putih

A.10 cara D.15 cara

B. 11 cara E .30 cara

C.13 cara

Pembahasan :

Untuk mengambil 2 dari 5 bola merah ada :

5C2= 5! = 5! =5x5x5!=5x4! =10 cara

(5-2)!2! 3!2! 3!2! 2

Untuk menganbil 1 dari 3 bola putih ada

3C1 = 3! = 3! =3 cara

(3-1)!1! 2!

Banyak cara untuk mengambil 2 bola merah dan 1 bola putih adalah

5C2 X 3C1 =10 X 3 =30 cara

Jawaban : E

7. Sekeping uang logam setimbang berisi gambar ( G )dan angka (A) dilemparkan dua

Kali.Peluang sekurang-kurangnya sisi gambar muncul sekali adalah..

A. D.

B. E 1/8

C.3/8

Pembahasan:

Ruang sample =S={GG,GA,AG,AA}karena uang seimbang,setiap kejadian mempunyai

Peluang yang sama.Dengan demikian ,setiap titik sampel di berikan peluang sebesar

BilaB={GG,GA,AG}.

Jadi P(B)=

Jawaban : A

8. Suatu kotak berisi 10 bola ,6 bola merah dan lainnya bola putih.Dari kotak itu diambil

3 bola secara acak .Peluang terambil semua bola merah adalah C

A.1/10 D 2/5.

B.1/6 E 1/3

C.3/10

Pembahasan :


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50 soal probabilitas.docx

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