Question

If A and B are any two events of the sample space with P(A) = 0.6, P(B) = 0.7, and P(A ∩ B) = 0.4, compute the following probabilities: a. P(A ∪ B) b. P(A' ∩ B') (A' is the complement of A, B' is the complement of B)

Name: if a and b are any two events of the sample space with pa 06 pb 07 and pa b 04 compute the following probabilities a pa b b pa b a is the complement of a b is the complement of b
Uploaded: 2023-06-22T19:16:18-08:00
Duration: 3 min 33 s
Channel: Lucas Finney
Description: if a and b are any two events of the sample space with pa 06 pb 07 and pa b 04 compute the following probabilities a pa b b pa b a is the complement of a b is the complement of b

          If A and B are any two events of the sample space with P(A) = 0.6, P(B) = 0.7, and P(A ∩ B) = 0.4, compute the following probabilities:

a. P(A ∪ B)

b. P(A' ∩ B') (A' is the complement of A, B' is the complement of B)

Added by John D.

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton • Jay L. Devore 2nd Edition

Instant Answer

Solved by Expert Lucas Finney

06/22/2023

Step 1

To compute P(A ∪ B), we can use the formula: P(A ∪ B) = P(A) + P(B) - P(A ∩ B) Plugging in the given values, we get: P(A ∪ B) = 0.6 + 0.7 - 0.4 = 0.9 So, the probability of A ∪ B is 0.9. Show more…

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If A and B are any two events of the sample space with P(A) = 0.6, P(B) = 0.7, and P(A ∩ B) = 0.4, compute the following probabilities: a. P(A ∪ B) b. P(A' ∩ B') (A' is the complement of A, B' is the complement of B)