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5. the table shows the number of male and female college students who p…

Question

  1. the table shows the number of male and female college students who played collegiate basketb and collegiate soccer in the united states in a recent year.
collegiate soccercollegiate basketball
male37,24031,863
female36,52328,002

a. find the probability that a randomly selected collegiate soccer player is female.
b. find the probability that a randomly selected male student is a collegiate basketball player.

Explanation:

Part a:

Step 1: Find total soccer players

Sum male and female soccer players: \( 37240 + 36523 = 73763 \)

Step 2: Calculate probability

Probability = Female soccer / Total soccer = \( \frac{36523}{73763} \approx 0.495 \)

Part b:

Step 1: Find total male players

Sum male soccer and basketball: \( 37240 + 31863 = 69103 \)

Step 2: Calculate probability

Probability = Male basketball / Total male = \( \frac{31863}{69103} \approx 0.461 \)

Answer:

s:
a. \(\approx 0.495\)
b. \(\approx 0.461\)