Let A and B be events with P (A) = 0.375; P (B) = 0.5, and P (A and B)=0,25. Calculate P( À and Ɓ)
To find the probability of the complement of events A and B (A' and B'), we can use the formula:
P(A' and B') = 1 - P(A and B) - P(A and B') - P(A' and B)
First, let's find P(A' and B):
P(A' and B) = P(B) - P(A and B) = 0.5 - 0.25 = 0.25
Next, we can find P(A and B'):
P(A and B') = P(A) - P(A and B) = 0.375 - 0.25 = 0.125
Now, we can calculate P(A' and B') using the formula:
P(A' and B') = 1 - P(A and B) - P(A and B') - P(A' and B)
P(A' and B') = 1 - 0.25 - 0.125 - 0.25 = 0.375
Therefore, the probability of the complement of events A and B (A' and B') is 0.375.