If P(A or B) = 0.5, P(A) = 0.2 and P(B) = 0.7, determine P(A and B).
P(A or B) = P(A)+P(B)-P(A and B)
.5 = .2 + .7 - x
x = 0.4
Hey, these formulas are in your text I am sure.
P(A or B) = P(A) + P(B) - P(A and B)
sub in your values
yes i have seen the examples of the formula but was still very confused...thanks you two :)
To determine the probability of both events A and B occurring (P(A and B)), we can use the formula:
P(A and B) = P(A) + P(B) - P(A or B)
Given that P(A) = 0.2, P(B) = 0.7, and P(A or B) = 0.5, we can substitute these values into the formula:
P(A and B) = 0.2 + 0.7 - 0.5
P(A and B) = 0.9 - 0.5
P(A and B) = 0.4
Therefore, the probability of both events A and B occurring is 0.4.