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:
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:
P (Q or R) = 0.34
Step-by-step 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