Consider rolling a fair die twice and tossing a fair coin nineteen times. Assume

Question

Consider rolling a fair die twice and tossing a fair coin nineteen times. Assume that all the tosses and rolls are independent.

The chance that the total number of heads in all the coin tosses equals 9 is(Q)_____ , and the chance that the total number of spots showing in all the die rolls equals 9 is(Q)__________ The number of heads in all the tosses of the coin plus the total number of times the die lands with an even number of spots showing on top (Q)______(Choose A~E)

A. has a Binomial distribution with n=31 and p=50%

B. does not have a Binomial distribution

C. has a Binomial distribution with n=21 and p=50%

D. has a Binomial distribution with n=21 and p=1/6

E. has a Binomial distribution with n=31 and p=1/6

Explanation / Answer

Consider rolling a fair die twice and tossing a fair coin nineteen times. Assume that all the tosses and rolls are independent.

The chance that the total number of heads in all the coin tosses equals 9 is(Q)_____ , and the chance that the total number of spots showing in all the die rolls equals 9 is(Q)__________ The number of heads in all the tosses of the coin plus the total number of times the die lands with an even number of spots showing on top (Q)______(Choose A~E)

A. has a Binomial distribution with n=31 and p=50%

B. does not have a Binomial distribution

C. has a Binomial distribution with n=21 and p=50%

D. has a Binomial distribution with n=21 and p=1/6

E. has a Binomial distribution with n=31 and p=1/6

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