A couple decides to have three babies, with ages all approximately on year apart

Question

A couple decides to have three babies, with ages all approximately on year apart (we ignore the possibility of twins or other multiples births). Assume that births are independent events and that the probability that a baby will be a girl is 50%.

1) Let A = "at least 1 of the three babies will be a boy". Let B "at least 2 of the three babies will be boys." These events are:

a) disjoint b) complement c) dependent d) none of these

2) The probability that at least two of the three babies will be boys is:

a) 50% b) 12.5% c) 37.5 % d) none of these

3) For the events defined in problem above, P (A or B) is equal to:

a) 100% b) 43.75% C) 62.5 % d) none of these

Explanation / Answer

Solution:

1) Let A = "at least 1 of the three babies will be a boy". Let B "at least 2 of the three babies will be boys." These events are:

option c) dependent

2) The probability that at least two of the three babies will be boys is:

option a) 50%

3) For the events defined in problem above, P (A or B) is equal to:

option a) 100%

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