Question

Suppose Q and R are dependent events. Find P(Q and R) formula.

A) P(Q) * P(R)
B) P(Q) + P(R)
C) P(Q | R) * P(R)
D) P(Q | R) + P(R)

Answer 1

The formula to find the probability of both Q and R occurring (P(Q and R)), given that they are dependent events, is P(Q | R) * P(R).

Step-by-step explanation:

If events Q and R are dependent, the correct formula to find the probability of both Q and R occurring, which is represented as P(Q and R), is option C) P(Q | R) * P(R). This is known as the multiplication rule in probability, and it states that to find the probability of two dependent events happening, you multiply the probability of one event by the probability of the second event given that the first one has occurred.

Thus, if we need to find P(Q and R), and we know that Q and R are dependent events, our formula would be the probability of R occurring multiplied by the probability of Q occurring given R has occurred, or P(Q | R) * P(R).