Question

Suppose Q and R are independent events. Find P(Q and R) if P(Q) = 4/5 and P(R) = 4/11.

A) 16/55

B) 1/15

C) 9/20

D) 2/11

Answer 1

To find P(Q and R) for independent events Q and R, multiply the individual probabilities. The calculation is P(Q and R) = P(Q) × P(R) = (4/5) × (4/11) = 16/55.

Step-by-step explanation:

The subject of this question is Mathematics, and it involves the calculation of probability for independent events. Specifically, we are asked to find P(Q and R) given that Q and R are independent events.

Since events Q and R are independent, the probability of both events occurring, denoted as P(Q and R), is calculated by multiplying the probability of Q occurring by the probability of R occurring. Using the information provided:

• P(Q) = 4/5
• P(R) = 4/11

To find P(Q and R), we multiply these probabilities:

P(Q and R) = P(Q) × P(R) = (4/5) × (4/11) = 16/55

Therefore, the correct answer is A) 16/55.