The guidance department ha reported that of the enior cla, 2. 3 % are member of Key Club, K, 8. 6 % are enrolled in AP Phyic, P, and 1. 9 % are in both. What i the probability of P given K?

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16-12-2022
Mathematics

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The guidance department ha reported that of the enior cla, 2. 3 % are member of Key Club, K, 8. 6 % are enrolled in AP Phyic, P, and 1. 9 % are in both. What i the probability of P given K?

Answer :

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debjitbhowal4568 debjitbhowal4568 · Answer 1 · 2022-12-24T11:46:44-05:00

The probability of P given K, is 82.6%.

The conditional probability of event B is the probability that the event will occur given the knowledge that event A has already occurred. This probability is written P(B|A), a notation for the probability of B given A. In the case where events A and B are independent (where event A has no effect on the probability of event B), the conditional probability of event B given event A is simply the probability of event B, that is P(B).

Here we have P(k)=2.3% =[tex]\frac{2.3}{100}[/tex]

P(p)=8.6% and P(p∩k)=1.9%

So, for the probability of P given K,

P([tex]\frac{p}{k}[/tex]) = 1.9/2.3 = .828 = 82.8%

Thus, the probability of P given K is 82.6%.

To learn more about conditional probability visit:brainly.com/question/11899923

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