Question

Q and R are not mutually exclusive events. if P(Q) = 0.12, P(R)= 0.25 and P(Q and R)=0.03, find P(Q or R)

Answer 1

0.34

Given:

P(Q) = 0.12

P(R)= 0.25

P(Q and R)=0.03

Formula Used:

Mutually exclusive events means that they can never occur simultaneously.

Non-mutually exclusive events means that they can occur simultaneously.

For any two non-mutually exclusive events, P(Q ∪ R) = P(Q) + P(R) - P(Q ∩ R)

⇒ P(Q ∪ R) = P(Q or R)

= 0.12 + 0.25 - 0.03

= 0.34

Answer 2

P (Q or R) = 0.34

Explanation:

We are given that Q and R are not mutually exclusive events. Also, the following probabilities are given:

P(Q) = 0.12, P(R)= 0.25 and P(Q and R)=0.03

We are to find the probability P(Q or R). Since mutually exclusive events mean that they cannot occur simultaneously, so we will use the formula:

P (Q ∪ R) = P (Q) + P (R) - P (Q ∩ R)

P (Q ∪ R) = P (Q or R)

P (Q or R) = 0.12 + 0.25 - 0.03 = 0.34