Question

the probability for event a is 0.3, the probability for event b is 0.5, and the probability of events a and b is 0.25. are the events independent? because p(a) times p(b) is equal to p(a and b) p(a) times p(b) is not equal to p(a and b) p(a and b) times p(a) is equal to p(b) p(a and b) times p(b) is not equal to p(a)

Explanation:

Step1: Calculate P(A)×P(B)

Given P(A) = 0.3 and P(B)=0.5, then P(A)×P(B)=0.3×0.5 = 0.15

Step2: Compare with P(A and B)

Given P(A and B) = 0.25. Since 0.15≠0.25, P(A)×P(B) is not equal to P(A and B)

Answer:

No, because P(A) times P(B) is not equal to P(A and B)