Question

Normal


Sara’s volleyball team has white jerseys and green jerseys. The probability of wearing a white jersey to a game is the same as the probability of wearing a green jersey. Sara drew a tree diagram to calculate all the possible outcomes for wearing jerseys to three games.
White in Game 1 has white in game 2 and further has white and green as outcomes in game 3, the green outcome in game 2 further has white and green outcomes at game 3. The green in game 1 has white in game 2 and further has white and green as outcomes in game 3, the green outcome in game 2 further has white and green outcomes in game 3.

What is the probability that she will wear her green jersey for three games in a row?
A.1/3


B.1/2


C.1/8


D.1/6

Answer 1

The probability of wearing a green jersey in one game is 1/2 (since it is the same as the probability of wearing a white jersey). Now, since we want to know the probability of wearing a green jersey for three games in a row, we need to multiply the probabilities of wearing a green jersey for each of the three games.

So, the probability of wearing a green jersey for three games in a row is 1/2 x 1/2 x 1/2 = 1/8.

Therefore, the answer is (C) 1/8.