Two events A and B are independent with Upper P left-parenthesis Upper A right-parenthesis equals Upper P left-parenthesis Upper B right-par

Question

Two events A and B are independent with Upper P left-parenthesis Upper A right-parenthesis equals Upper P left-parenthesis Upper B right-parenthesis equals 0.5. Then Upper P left-parenthesis Upper A intersection Upper B right-parenthesis is____________.

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Ariana 1 week 2021-11-17T14:35:29+00:00 1 Answer 0 views 0

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    2021-11-17T14:37:14+00:00

    Answer:

    The value of P (A ∩ B) is 0.25.

    Step-by-step explanation:

    Independent events are those events that do not effect the occurrence of each other, i.e. if event X and Y are independent then the occurrence of X and Y are not influenced by each other.

    For independent events X and Y the joint probability of X and Y is:

    P (X\cap Y)=P(X)\times P(Y)

    It is provided that events A and B are independent of each other.

    And P (A) = P (B) = 0.50.

    Compute the value of P (A ∩ B) as follows:

    P (A\cap B)=P(A)\times P(B) \\= 0.50\times0.50\\=0.25

    Thus, the value of P (A ∩ B) is 0.25.

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45:7+7-4:2-5:5*4+35:2 =? ( )