A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the
probability of a girl.
What is the probability that they will have three children of the same gender?
0.5
0.25
0.375
0.125
none of these
Good job! Since the outcomes are equally likely, the easiest way to work this problem is to write out the
8 outcomes in this sample space. In two of these outcomes the genders of all three children are the
same (GGG, BBB). So the answer is 2/8 = 0.25.
Question 2 of 4Points: 10 out of 10
A person in a casino decides to play blackjack until he wins a game, but he will not play more than 3
games. Let W denote a win and L denote a loss.
What is the sample space for this random experiment?
S = {WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL}
S = {W, LW, LLW}
S = {W, LW, LLW, LLL}
S = {W, WW, WWW}
S = {W, WL, WWL, WWW}

Good job! The person stops playing when he wins or if he plays three games without winning.
Question 3 of 4Points: 10 out of 10
A person in a casino decides to play 3 games of blackjack. Let W denote a win and L denote a loss. Define