Q and R are independent events. P(Q) = 0.4; P(Q AND R) = 0.18. Find P(R).P(R) =
Question
Q and R are independent events. P(Q) = 0.4; P(Q AND R) = 0.18. Find P(R).P(R) =
Solution
Since Q and R are independent events, the probability of both events occurring is the product of their individual probabilities. This can be expressed as:
P(Q AND R) = P(Q) * P(R)
We know that P(Q AND R) = 0.18 and P(Q) = 0.4. We can substitute these values into the equation to find P(R):
0.18 = 0.4 * P(R)
To solve for P(R), divide both sides of the equation by 0.4:
P(R) = 0.18 / 0.4 = 0.45
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