The possible probabilities for events A and B are P(A) =0.20 and P(B) = 0.05 where the values satisfied P(A and B) = P(A) × P(B).
Events A and B are independent.
P(A and B) = 0.25
we need to find possible probabilities for events A and B.
Probability refers to the occurrence of a random event. The probability of an event is always is between 0 and 1.
The probability for two independent events P(A) and P(B) is
P(A and B) = P(A) × P(B)
if P(A and B) = 0.25
Solving by putting the option one by one, we get
For P(A)=0.5 and P(B)=0.5, P(A and B) ≠ P(A) × P(B)
For P(A)=0.25 and P(B)=0.25, P(A and B) ≠ P(A) × P(B)
For, P(A) =0.20 and P(B) = 0.05,
P(A) × P(B) = 0.25 which is equal to P(A and B).
So, the possible probabilities for events A and B are P(A) =0.20 and P(B) = 0.05 where the values satisfied P(A and B) = P(A) × P(B).
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