Hi I know how to find P(A and b) and P(AuB)
My problem is finding say P(A)=0.60 and P(B with a line over the B)=0.40. what do I need to do. I get two right than 3 wrong.
Can you please help.
Thank you
Of course! In order to find the probability of the complement of event B, denoted as B̅, you can subtract the probability of event B from 1. Here's how you can calculate it step by step:
1. Given that P(A) = 0.60, this represents the probability of event A occurring.
2. Given that P(B̅) = 0.40, this represents the probability of event B not occurring (the complement of B).
3. To find the probability of A and B̅ occurring together, denoted as P(A and B̅), you can use the formula:
P(A and B̅) = P(A) - P(A and B)
Now, to calculate P(A and B), you will need the probability of A and B occurring together. Unfortunately, you haven't provided that information (two right than three wrong).
If you have the specific probabilities of A and B occurring together, you can use the formula:
P(A and B) = P(A) + P(B) - P(A or B)
Where P(A or B) is the probability of A or B occurring, also known as the union of A and B, denoted as A U B. However, you mentioned you already know how to find P(A U B), so we will consider that information.
If you have P(A U B), you can use the formula:
P(A U B) = P(A) + P(B) - P(A and B)
Rearranging this equation, you can calculate P(A and B) as:
P(A and B) = P(A) + P(B) - P(A U B)
Once you have both P(A and B) and P(A and B̅), you can use them to calculate P(A) and P(B̅) as follows:
P(A) = P(A and B̅) + P(A and B)
P(B̅) = 1 - P(B)
I hope this explanation helps you understand how to approach finding the probabilities you need. If you have any specific values for P(A and B), please provide them so I can help you with the calculation.