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Out of 100 students, two sections of 40 and 60 are formed. If

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Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among the 100 students, what is the probability that(a) you both enter the same section?(b) you both enter the different sections?

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Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among the 100 students, what is the probability that(a) you both enter the same section?(b) you both enter the different sections?

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Text solutionVerified

Solution: Total

= .^{100} C_{40}

(a) no of ways such that

A, B \in 40 \Rightarrow .^{98} C_{38}

A B \in 60, \Rightarrow .^{98} C_{40}

p(A & B together)

= \frac{. ^{98} C _{38} + . ^{98} C _{40}}{. ^{100} C _{40}}

(b) p(A,b in different)

= 1 - \frac{. ^{98} C _{38} + . ^{98} C _{40}}{. ^{100} C _{40}}

= 2 \frac{. ^{98} C _{39}}{. ^{100} C _{40}}

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Question Text	Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among the 100 students, what is the probability that(a) you both enter the same section?(b) you both enter the different sections?
Answer Type	Text solution:1
Upvotes	150

Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among the 100 students, what is the probability that(a) you both enter the same section?(b) you both enter the different sections?

Text solutionVerified

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