PLEASE HELP GIVE BRANLIEST!! For two events X and Y, P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5 . Find the probabilities. 1. 2/25

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PLEASE HELP GIVE BRANLIEST!!
For two events X and Y, P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5 . Find the probabilities.
1. 2/25 P(Y∩X) = ____
2.4/15 P(Y)· P(X) =____

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Ngọc Khuê 4 years 2021-08-28T00:07:52+00:00 1 Answers 4 views 0

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    0
    2021-08-28T00:09:45+00:00

    Answer:

    1. 2/25

    2. 4/15

    Step-by-step explanation:

    1. P(Y∩X)

    Since  P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5, this is a conditional probability.

    So  P(Y∩X) = P(Y)P(X|Y) = 2/5 × 1/5 = 2/25

    2. P(Y)· P(X)

    P(Y)· P(X) = 2/3 × 2/5 = 4/15

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