Question

If A and B are events with P(A)=0.7,P(B)=0.2,P(A⋅ANDB)=0.17, find P(A∩R⋅B), Provide your answer below:

Answer 1

To find P(A∩R⋅B), subtract the probabilities of events A and B from the probability of their intersection, and add the probability of their union. In this case, the answer is 0.

Step-by-step explanation:

To find P(A∩R⋅B), we can use the formula P(A∩R⋅B) = P(A⋅ANDB) - P(A) - P(B) + P(A∪B), where P(A∪B) is the probability of the union of events A and B.

Given that P(A)=0.7, P(B)=0.2, and P(A⋅ANDB)=0.17, we can substitute these values into the formula:

P(A∩R⋅B) = 0.17 - 0.7 - 0.2 + P(A∪B).

To find P(A∪B), we can use the formula P(A∪B) = P(A) + P(B) - P(A⋅ANDB), substituting the given values:

P(A∪B) = 0.7 + 0.2 - 0.17 = 0.73.

Now, we can substitute this value into the previous equation:

P(A∩R⋅B) = 0.17 - 0.7 - 0.2 + 0.73 = 0.