Events A and B are such that P(A)=3/10 and p(B)=2/5 and p(P)=1/10.find p(AnB') and p(A'nB')
To find the probability of events A and the complement of event B (A ∩ B'), we first need to find the probability of event B' (the complement of event B).
Since the probability of B is 2/5, the probability of B' is 1 - 2/5 = 3/5.
Now, to find the probability of A ∩ B', we multiply the probabilities of A and B':
P(A ∩ B') = P(A) * P(B') = (3/10) * (3/5) = 9/50
Therefore, the probability of A ∩ B' is 9/50.
To find the probability of the complement of event A and event B' (A' ∩ B'), we first need to find the probability of the complement of event A (A').
Since the probability of A is 3/10, the probability of A' is 1 - 3/10 = 7/10.
Now, to find the probability of A' ∩ B', we multiply the probabilities of A' and B':
P(A' ∩ B') = P(A') * P(B') = (7/10) * (3/5) = 21/50
Therefore, the probability of A' ∩ B' is 21/50.