C and D are mutually exclusive events. Find P(C or D). P(C)= 3/7= P(D)= 4/7 P(C or D)

asked Sep 26, 2022 1.4k views

4 votes

C and D are mutually exclusive events. Find P(C or D).
P(C)= 3/7= P(D)= 4/7
P(C or D)

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6 votes

Answer:

$P(C\ or\ D) = 1$

Explanation:

Given

P(C) = (3)/(7)

P(D) = (4)/(7)

Required

$P(C\ or\ D)$

Since the events are mutually exclusive, then:

$P(C\ or\ D) = P(C) + P(D)$

So, we have:

$P(C\ or\ D) = (3)/(7) + (4)/(7)$

Take LCM

$P(C\ or\ D) = (3+4)/(7)$

$P(C\ or\ D) = (7)/(7)$

$P(C\ or\ D) = 1$

Van Du Tran answered Oct 3, 2022

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