High School

The guidance department has reported that of the senior class, 2.3% are members of Key Club, [tex]k[/tex], 8.6% are enrolled in AP Physics, [tex]p[/tex], and 1.9% are in both. What is the probability of [tex]p[/tex] given [tex]k[/tex]?

Answer :

the probablilty of p and k is 82.6%.

Given:

key club P(k) = 2.3%

physics P(p) = 8.6%

(p∩k) = 1.9%

formula:

P(p/k) = P(p∩k)/P(k)

putting the value,

P(p/k) = 1,9%/2.3%

= 0.019/0.023

= 0.826 = 82.6%

hence the probability of p given k is 82.6%.

#123

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