Knowee
Questions
Features
Study Tools

U and V are mutually exclusive events.P(U) = 0.28P(V) = 0.33Part (a)P(U AND V) = Part (b)P(U | V) = Part (c)P(U OR V) =

Question

U and V are mutually exclusive events.

  • P(U) = 0.28
  • P(V) = 0.33

Part (a)

  • P(U AND V) =

Part (b)

  • P(U | V) =

Part (c)

  • P(U OR V) =
🧐 Not the exact question you are looking for?Go ask a question

Solution

Part (a) Since U and V are mutually exclusive events, they cannot occur at the same time. Therefore, the probability of both U and V occurring, denoted as P(U AND V), is 0.

Part (b) The conditional probability of U given V, denoted as P(U | V), is the probability of event U occurring given that event V has already occurred. However, since U and V are mutually exclusive, if V has occurred, U cannot occur. Therefore, P(U | V) is also 0.

Part (c) The probability of U or V occurring, denoted as P(U OR V), is the sum of the probabilities of U and V. This is because U and V are mutually exclusive, so there's no overlap to subtract out. Therefore, P(U OR V) = P(U) + P(V) = 0.28 + 0.33 = 0.61.

This problem has been solved

Similar Questions

A and B are mutually exclusive events. P(A) = 0.60 and P(B) = 0.30. What is P(A or B)?A.0.90B.0.15C.0.18D.0.72

A and B are independent events. P(A) = 0.40 and P(B) = 0.30. What is P(A and B)?A.0.70B.0.12C.0.012D.0SUBMITarrow_backPREVIOUS

If A and B are mutually exclusive, then the P(A and B) is equal toa. 0b. 1c. 0.5d. 0.75

P(A) = 0.60, P(B) = 0.30, and P(A and B) = 0.15. What is P(A or B)?A.0.18B.0.75C.0.90D.0.15SUBMITarrow_backPREVIOUS

Given P(A) = 0.6 and P(B) = 0.4, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.1, compute P(A and B).

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.