If A and B are mutually exclusive events such that P(A = 0.35 and P(B=0.45, find (i) P(A uu B); (ii) P(A nn B); (iii) P(A nn bar(B)); (iv) P(bar(A) nn bar(B))

Savanne1bo

Savanne1bo

Answered question

2023-01-04

If A and B are mutually exclusive events such that P(A = 0.35 and P(B=0.45, find ( i ) P ( A B ) ( i i ) P ( A B ) ( i i i ) P ( A B ¯ ) ( i v ) P ( A ¯ B ¯ )

Answer & Explanation

Tambourcjr

Tambourcjr

Beginner2023-01-05Added 2 answers

Given that A and B are events that cannot both occur, this is a given.
P ( A B ) = 0 [   A B = ϕ ] P ( A ) = 0.35 , P ( B ) = 0.45 ( i ) P ( A B ) = P ( A ) + P ( B ) P ( A B ) = 0.35 + 0.45 0 = 0.80 ( i i ) P ( A B ) = 0 ( i i i ) P ( A B ¯ ) = P ( A ) P ( A B ) = 0.35 0 = 0.35 ( i v ) P ( A ¯ B ¯ ) = P ( A B ) = 1 P ( A B ) = 1 0.8 = 0.2

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