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Probability: Out of 5 boys and 6 girls, 4 students are selec
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29 Dec 2021, 06:07
29 Dec 2021, 06:07
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42% (02:22) correct
57% (02:30) wrong based on 7 sessions
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Out of 5 boys and 6 girls, 4 students are selected at random such that at least 1 boy and 1 girl is selected, what is the probability that the selection has more number of girls than the number of boys?
A. 1/33
B. 5/33
C. 10/33
D. 10/31
E. 21/31
Posted from my mobile device
A. 1/33
B. 5/33
C. 10/33
D. 10/31
E. 21/31
Posted from my mobile device
Re: Probability: Out of 5 boys and 6 girls, 4 students are selec
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29 Dec 2021, 07:41
29 Dec 2021, 07:41
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Expert Reply
The number of ways of selecting that satisfy the “at least one girl and at least one boy” is C(11,4)-C(5,4)-C(6,4)=11x10x9x8/4x3x2x1–5–6x5/2 x1=330–5–15=310.
If there are more girls there must be 3 girls and one boy and the number of ways of selecting three girls and one boy is C(6,3)xC(5,1)=100.
100/310 or 10/31
D
If there are more girls there must be 3 girls and one boy and the number of ways of selecting three girls and one boy is C(6,3)xC(5,1)=100.
100/310 or 10/31
D
Re: Probability: Out of 5 boys and 6 girls, 4 students are selec
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19 Aug 2023, 19:23
19 Aug 2023, 19:23
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