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# hw6-4 - Math 1160 Section 6.4 Answer Key 8 Sample Space =...

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Math 1160 – Section 6.4 Answer Key 8. Sample Space = 11 balls barb2right 6 White and 5 Red Sample Size = 4 balls selected at random Event = 2 white balls and 2 red balls C(6,2) x C(5,2) = 15 x 10 = 150 = 5 C(11,4) 330 330 11 11. This is set up the same as the numbered marble problem. Sample Space = 22 children barb2right 12 boys and 10 girls Sample Size = 7 children Event = At least 2 girls are chosen 2G5B or 3G4B or 4G3B or 5G2B or 6G1B or 7G0B C(10,2)xC(12,5) + C(10,3)xC(12,4) + C(10,4)xC(12,3) + C(10,5)xC(12,2) + C(10,6)xC(12,1) + (10,7)xC(12,0) C(22,7) (45 x 792) + (120 x 495) + (210 x 220) + (252 x 66) + (210 x 12) + (120 x 1) = C(22,7) 35640 + 59400 + 46200 + 16632 + 2520 + 120 = 160512 = 16 170544 170544 17 12. This is set up the same as the numbered marble problem. Sample Space = 22 children barb2right 12 boys and 10 girls Sample Size = 7 children Event = More boys than girls are chosen 4B3G or 5B2G or 6B1G or 7B0G C(12,4)xC(10,3) + C(12,5)xC(10,2) + C(12,6)xC(10,1) + C(12,7)xC(10,0) C(22,7) (495 x 120) + (792 x 45) + (924 x 10) + (792 x 1) = C(22,7) 59400 + 35640 + 9240 + 792 = 105072 = 199 170544 170544 323

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13. This is set up the same as the numbered marble problem.
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