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Q and R are independent events. P(Q) = 0.4; P(Q AND R) = 0.16. Find P(R).P(R) =

Question

Q and R are independent events.

Given:

  • P(Q) = 0.4
  • P(Q AND R) = 0.16

Find P(R).

P(R) =

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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) = 0.16 and P(Q) = 0.4. We can substitute these values into the equation to find P(R):

0.16 = 0.4 * P(R)

To solve for P(R), divide both sides of the equation by 0.4:

P(R) = 0.16 / 0.4 = 0.4

So, the probability of event R, P(R), is 0.4.

This problem has been solved

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