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 rhe same time ? Write in decimal form.
Since events A and B are independent, the probability of both happening at the same time is simply:
P(A and B) = P(A) * P(B) = 0.3 * 0.25 = 0.075
So the probability of events A and B happening at the same time is 0.075, or 7.5% in decimal form.
To find the probability of events A and B happening at the same time, we multiply the probabilities of each event occurring individually.
Let's call the probability of events A and B happening at the same time as P(A and B).
P(A and B) = P(A) * P(B)
Given that P(A) = 0.3 and P(B) = 0.25, we can substitute these values into the equation:
P(A and B) = 0.3 * 0.25
Calculating this expression, we get:
P(A and B) = 0.075
Therefore, the probability of events A and B happening at the same time is 0.075.