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Statement-1 If 10 coins are thrown simul...

Statement-1 If 10 coins are thrown simultaneously, then the probability of appearing exactly foour heads is equal to probability of apppearing exactly six heads.
Statement-2 `.^nC_r=.^nC_s implies` either r=s or r+s=n and P(H)=P(T) in a single trial.

A

Statement-1 is true, Statement-2 is true: Statement-2 is a correct explanation for Statement-1

B

Statement-1 is true, Statement-2 is true: Statement-2 is not a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
a
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Knowledge Check

  • If there are n independent trials, p and q the probability of success and failure respectively then probability of exactly r successes

    A
    `q^(n)`
    B
    `""^(n)C_(r)q^(n)p^(r)`
    C
    `""^(n)C_(r)q^(n-r)p^(r)`
    D
    `""^(n)C_(r)p^(n-r)q^(r)`

  • If there are n independent trials, p and q are the probability of success and failure respectively, then probability of exactly r success

    A
    `.^(n)C_(r+1)p^(r)q^(n-r)`
    B
    `.^(n)C_(r)p^(r-1)q^(r+1)`
    C
    `.^(n)C_(r)q^(n-r)p^(r)`
    D
    `.^(n)C_(r)p^(r+1)q^(r-1)`

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