In the Ridgeland Park youth athletics program, 60% of athletes play baseball and 24% of athletes play baseball and basketball. What percentage of athletes who play baseball also play basketball?

Respuesta :

24% is the answer...Hope this helps

Answer: 40%

Step-by-step explanation:

Let A be the event that the athlete play baseball and B be the event that the athlete play basketball.

Given: The probability of athletes play baseball =[tex]P(A)=0.60[/tex]

The probability of athletes play baseball and basketball =[tex]P(B\cap A) = 0.24[/tex]

Then the probability that the athletes who play baseball also play basketball is given by :-

[tex]P(B|A)=\dfrac{P(B\cap A)}{P(A)}\\\\\Rightarrow\ P(B|A)=\dfrac{0.24}{0.60}=0.4[/tex]

In percent , [tex]0.4\times100=40\%[/tex]

Hence, 40% of  athletes who play baseball also play basketball.

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