Question

U and V are mutually exclusive events. P(U)=0.41 ; P(V)=0.51

find: P(UAND V)
find: P(U | V)
find: P(U OR V)

Answer 1

The probability of U AND V is 0, the probability of U | V is 0, and the probability of U OR V is 0.92.

Step-by-step explanation:

In this question, we are given that U and V are mutually exclusive events. We are also given that P(U) = 0.41 and P(V) = 0.51. We need to find:

a. P(U AND V)

b. P(U | V)

c. P(U OR V)

Since U and V are mutually exclusive, the probability that both U and V occur at the same time is 0. Therefore, P(U AND V) = 0. We can also find P(U | V) using the formula P(U | V) = P(U AND V) / P(V), which simplifies to P(U | V) = 0 / 0.51 = 0. Finally, we can find P(U OR V) using the formula P(U OR V) = P(U) + P(V) - P(U AND V), which simplifies to P(U OR V) = 0.41 + 0.51 - 0 = 0.92.