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A die is thrown 100 times, getting an ev...

A die is thrown 100 times, getting an even number is considered a success. The variance of the number of successes is

A

50

B

25

C

10

D

100

Text Solution

Verified by Experts

The correct Answer is:
B
We have,n=100 and `p=3/6=1/2`. So q, `=1/2`
`therefore ` Variance `=npq=100xx(1)/(2)xx1/2=25`
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Knowledge Check

  • A die is thrown 100 times. If getting an even numebr is considered a success, the variance of the number of successes, is

    A
    50
    B
    25
    C
    10
    D
    100

  • A die is thrown 10 times. If getting an even number is considered as a success, then the probability of four successes is

    A
    `""^(10)C_(4)(1/2)^4`
    B
    `""^(10)C_(4)(1/2)^6`
    C
    `""^(10)C_(4)(1/2)^8`
    D
    `""^(10)C_(6)(1/2)^(10)`

  • A die is thrown 2 times. If getting an odd number is considered as a success, then the probability of 2 successes is

    A
    `(1)/(2)`
    B
    `(3)/(4)`
    C
    `(2)/(3)`
    D
    `(1)/(4)`

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