An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1.

Which of the following is the conditional probability of A, given B?

A. 5/6

B. 1/5

C. 1/6

D. The answer cannot be determined from the information given

Question

Chaz

Mathematics

18 July, 19:52

An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1.

Which of the following is the conditional probability of A, given B?

A. 5/6

B. 1/5

C. 1/6

D. The answer cannot be determined from the information given

+4

Answers (1)

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Pretty · Answer 1

(C) 1/6

Step-by-step explanation:

Pr that event A will occur = 0.5

Pr that event B will occur = 0.6

Pr that both A and B occurs = 0.1

Pr (A) = 0.5

Pr (B) = 0.6

Pr (AnB) = 0.1

The conditional probability of A given B is Pr (A|B) = Pr (AnB) / Pr (A)

= 0.1/0.6

= 1/6 (C)

An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1.Which of the following is the conditional probability of A, given B?A. 5/6B. 1/5C. 1/6D. The answer cannot be determined from the information given

An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1.

Which of the following is the conditional probability of A, given B?

A. 5/6

B. 1/5

C. 1/6

D. The answer cannot be determined from the information given