the probability of event a is 0.6. the probabilty of event b is 0.7. a and b are independent events what is the probability of a and b
Since events A and B are independent, the probability of both events occurring is the product of their individual probabilities:
P(A and B) = P(A) * P(B)
P(A and B) = 0.6 * 0.7
P(A and B) = 0.42
Therefore, the probability of events A and B both occurring is 0.42 or 42%.
dont we divide instead of multiply?
No, when two events are independent, you multiply the probabilities of each event to find the probability of both events occurring.
The formula for two independent events A and B is:
P(A and B) = P(A) * P(B)
So, in this case:
P(A and B) = 0.6 * 0.7 = 0.42
Therefore, you multiply the probabilities, not divide.