Question

question 4(multiple choice worth 2 points) (likelihood mc) each soccer player has one yellow, one blue, and one white jersey. for the last game of the season, each player could choose which jersey they wanted to wear. the table below shows the percentage of players that wore each color jersey. compare the probabilities of a randomly selected player wearing a certain jersey color and interpret the likelihood. choose the statement that is true. jersey color percentage of players white 0.45 blue 0.25 yellow 0.30 the player will be equally likely to wear a yellow jersey or a white jersey because p(yellow) = p(white). the player will be more likely to wear a blue jersey than a yellow jersey because p(blue)>p(yellow). the player will be more likely to wear a white jersey than a yellow jersey because p(white)>p(yellow). the player will be more likely to wear a yellow jersey than a white jersey because p(yellow)>p(white).

Explanation:

Step1: Analyze probabilities

We are given that \(P(\text{White}) = 0.45\), \(P(\text{Blue})=0.25\) and \(P(\text{Yellow}) = 0.30\).

Step2: Compare probabilities

We can see that \(0.45>0.30>0.25\), so \(P(\text{White})>P(\text{Yellow})>P(\text{Blue})\). This means a player is more likely to wear a white jersey than a yellow jersey, and more likely to wear a yellow jersey than a blue - jersey.

Answer:

The player will be more likely to wear a white jersey than a yellow jersey because \(P(\text{White})>P(\text{Yellow})\)