Question

Suppose P(A) = .6, P(B) = .5 and P(A n B) = .2. Find the

probability P (A u B).
A. 0.9
B. 0.5
C. 0.2
D. 0.6

Answer 1

To find the probability P(A u B), use the formula P(A u B) = P(A) + P(B) − P(A n B). Substituting the given probabilities yields P(A u B) = .9, which corresponds to answer choice A.

Step-by-step explanation:

The subject of the question is probability P (A u B), which refers to the probability of either event A or event B occurring, or both. To find the probability P (A u B), we can use the formula: P(A u B) = P(A) + P(B) − P(A n B). Given that P(A) = .6, P(B) = .5, and P(A n B) = .2, we can substitute these values into the formula:

P(A u B) = .6 + .5 − .2

P(A u B) = 1.1 − .2

P(A u B) = .9

Hence, the correct answer is A. 0.9.