If two events are independent, the probability of both events occurring is the product of their individual probability. Events A and B are independent with P(A)=0.3 and P(B)=0.25. What is the probability of events A and B happening at the same time? Write your answer in decimal form.(1 point)
The probability of both events occurring is:
P(A and B) = P(A) x P(B) = 0.3 x 0.25 = 0.075
Therefore, the probability of events A and B happening at the same time is 0.075, written in decimal form.
If two events A and B are independent, the probability of both events occurring is the product of their individual probabilities.
Given that P(A) = 0.3 and P(B) = 0.25, the probability of events A and B happening at the same time is calculated by multiplying P(A) and P(B):
P(A and B) = P(A) * P(B)
P(A and B) = 0.3 * 0.25 = 0.075
Therefore, the probability of events A and B happening at the same time is 0.075.
To find the probability of both events A and B happening at the same time, we need to multiply their individual probabilities together. In this case, the probability of event A occurring is 0.3, and the probability of event B occurring is 0.25.
So, to find the probability of both events happening simultaneously, we multiply 0.3 by 0.25:
P(A and B) = P(A) * P(B) = 0.3 * 0.25 = 0.075
Therefore, the probability of events A and B happening at the same time is 0.075, or 7.5% in decimal form.