Suppose Q and R are independent events, and P(Q) = 0.63, P(R) = 0.83. Find P(Q and R).
since they are independent it is 0.63 * 0.83
To find P(Q and R), we need to multiply the probabilities of the individual events when they are independent.
P(Q and R) = P(Q) * P(R)
Given that P(Q) = 0.63 and P(R) = 0.83, we can substitute these values into the equation:
P(Q and R) = 0.63 * 0.83
Now we can calculate the result:
P(Q and R) = 0.5229
Therefore, the probability of Q and R occurring together (P(Q and R)) is approximately 0.5229 or 52.29%.
To find the probability of two independent events occurring together, you can use the formula P(Q and R) = P(Q) * P(R), where P(Q) represents the probability of event Q occurring and P(R) represents the probability of event R occurring. In this case, P(Q) = 0.63 and P(R) = 0.83.
Simply multiply these probabilities together to find P(Q and R):
P(Q and R) = P(Q) * P(R)
= 0.63 * 0.83
= 0.5229 or 52.29%
Therefore, the probability of both event Q and event R occurring together is 0.5229 or 52.29%.