For the given pair of events a and b, complete parts (a) and (b) below. a: when a baby is born, it is a baby boy. b: when a 99 -sided die is rolled, the outcome is 99.

a. determine whether events a and b are independent or dependent. (if two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent.)

b. find p (a and b), the probability that events a and b both occur.

Question

Mathematics

Guest

14 August, 09:43

For the given pair of events a and b, complete parts (a) and (b) below. a: when a baby is born, it is a baby boy. b: when a 99 -sided die is rolled, the outcome is 99.

a. determine whether events a and b are independent or dependent. (if two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent.)

b. find p (a and b), the probability that events a and b both occur.

+1

Answers (1)

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Blackie · Answer 1

A baby being born and rolling a 99 sided die have no effect on the probability of the other ... so the events are independent.

The probability of a boy being born is: p (a) = 1/2

The probability of rolling 99 on a 99 sided die is: p (b) = 1/99

since the events are independent they're multiplied.

p (a & b) = p (a) * p (b)

p (a & b) = (1/2) * (1/99)

= 1/198

= 0.005