Question

Do males or female high school basketball players have a better chance of playing on college teams? On professional teams? Explain your thoughts by including probability numbers to support your answer!

Answer 1

A = event that a male highschool player plays on a college team
B = event that a female highschool player plays on a college team
C = event that a male college player is drafted by the pro leagues
D = event that a female college player is drafted by the pro leagues

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Going from high school to college:
P(A) = 4500/549500
P(A) = 0.0082 <<-- value is approximate
P(B) = 4100/456900
P(B) = 0.0090 <<-- value is approximate
Females have a better chance of playing on college teams (since 0.0090 is larger than 0.0082)

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Going from college to the pro leagues:
P(C) = 44/4500
P(C) = 0.0098 <<-- value is approximate
P(D) = 32/4100
P(D) = 0.0078 <<-- value is approximate
Males have a better chance of getting drafted by the pro leagues (since 0.0098 is larger than 0.0078)