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).
A) 0.34
B) 0.03
C) 0.31***
D) 0.4
Pr(QorR)=P(q)+Pr(r)-P(qANDr)
I dont get your answer
its 0.34
i got 0.4
To find the probability of the event Q or R occurring (P(Q or R)), we need to use the formula for the probability of the union of two events:
P(Q or R) = P(Q) + P(R) - P(Q and R)
Given that P(Q) = 0.12, P(R) = 0.25, and P(Q and R) = 0.03, we can substitute these values into the formula:
P(Q or R) = 0.12 + 0.25 - 0.03
= 0.37 - 0.03
= 0.34
Therefore, the probability of event Q or R occurring is 0.34.
The correct answer choice is A) 0.34.