SOLUTION: Given events J and K: P(J) = .18; P(K) = .37; P(J OR K) = .45 Find P(J AND K). Find the probability of the complement of event (J AND K). Find the probability of the c

Question 1201670: Given events J and K: P(J) = .18; P(K) = .37; P(J OR K) = .45
Find P(J AND K).

Find the probability of the complement of event (J AND K).

Find the probability of the complement of event (J OR K).
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
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Given events J and K: P(J) = .18; P(K) = .37; P(J OR K) = .45
Find P(J AND K).
Find the probability of the complement of event (J AND K).
Find the probability of the complement of event (J OR K).
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Start from this probability IDENTITY, which is valid for all/every/each events 

    P(J or K) = P(J) + P(K) - P(J and K).


Substitute here the given values.  You will get 

    0.45 = 0.18 + 0.37 - P(J and K).


From this equation, find  P(J and K)

    P(J and K) = 0.18 + 0.37 - 0.45 = 0.1.


ANSWER.  P(J and K) = 0.1.

Solved.

To get the complementary probability, subtract the base probability from 1.

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