Question

Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 65% and P(T) = 7%.

a. 4.55%
b. 72%
c. 58%
d. 455%

Answer 1

When you have two mutually exclusive events, to find the probability of one or another, you add the probabilities.
65+7=72
Final answer: B

Answer 2

Answer: P(S\cup T)=72%

Explanation:

We are given that S and T are mutually exclusive events.

Therefore, the intersection of both the events must be 0.

i.e.
`p(S\cap T)=0`

P (S) = 65% and P(T) = 7%

We know that P(S or T)=
`P(S\cup T)=P(S)+P(T)-P(S\cap T)`

`\Rightarrow P(S\cup T)=65\%+7\%=72\%`

Hence, P(S\cup T)=72%