Question

Probability: If A and B are mutually exclusive events, P(A)=.26, and P(B)=.45, find (a) P(A union B), (b) , (d) P(not A union not B).

Answer 1

(Since there is no way to put a "-" above a letter I'm going to define "prime" as not instead). Let me rewrite the problems:

(a) \[P(A U B)\]
(b)\[P(A \prime U B \prime)\]
The probability rule of complement is:\[P(A\prime)=1-P(A)\]

Answer 2

Do u know what are mutually exclusive events?

Answer 3

Since they are mutually exclusive events:
P(A or B) =P(A) + P(B)

Answer 4

I do.

Answer 5

Both events when added have to be either less than or equal to 1, not greater than 1, and contain no negative numbers.

Answer 6

From my book, the first question is actually \[P(A \prime)\] and by using the probability rule of complement: P(not A)=1-P(A), I get:

1-.26 = .45

.45+.26=.71