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NCERT Class XII Mathematics Chapter - - Solutions

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Question : 82
Total: 101
The probability that a student is not a swimmer is
1
5
. Then the probability that out of five students, four are swimmers is
Solution:  
p, the probability that the student is not a swimmer =
1
5

⇒q=1−p=1−
1
5
=
4
5
 and n=5
∴P(X=4)=5C4q1p4 =5C4(
4
5
)4(
1
5
)
=5(
4
5
)4(
1
5
)=(
4
5
)4
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