Question

Use the formula for conditional probability to find the probability: for events Q and R, P(Q) = 0.88, P(R) = 0.76, P(R and Q) = 0.49. Find the value of the probability P(R|Q).

A. 0.55
B. 0.76
C. 0.88
D. 0.49

Answer 1

The probability P(R|Q) is approximately 0.56.

Step-by-step explanation:

Conditional probability is a probability that measures the likelihood of an event occurring given that another event has already occurred. It is denoted by P(A∣B), read as "the probability of event A given event B."

The formula for conditional probability is given by:

P(R|Q) = P(R and Q) / P(Q)

Given the values P(Q) = 0.88, P(R) = 0.76, and P(R and Q) = 0.49, we can substitute these values into the formula:

P(R|Q) = 0.49 / 0.88 = 0.5568

Therefore, the value of P(R|Q) is approximately 0.56.