MATH SOLVE

4 months ago

Q:
# Choose all which define events A and B as independent events.P(A) = 0.6, P(B) = 0.4, P(A&B) = 0.24P(A) = 0.3, P(B) = 0.4, P(A&B) = 0.70P(A) = 0.5, P(B) = 0.1, P(A&B) = 0.60P(A) = 0.3, P(B) = 0.2, P(A&B) = 0.06

Accepted Solution

A:

There are 2 answers: Choice 1, Choice 4=======================================Why is this? Because we use the rule P(A & B) = P(A) * P(B)which only works if events A and B are independent----For the first answer choice, P(A) * P(B) = 0.6*0.4 = 0.24 = P(A & B)so that matches. The same applies to the fourth answer choice as wellP(A) * P(B) = 0.3*0.2= 0.06 = P(A & B)----The other answer choices don't match up. The second answer choice hasP(A) * P(B) = 0.3*0.4 = 0.12 but that doesn't match with the 0.70 givenSimilarly for the third answer choice,P(A) * P(B) = 0.5*0.1 = 0.05 which doesn't match with the 0.60