A few days ago
Anonymous

Help with this probability please?

The probability that an accountant’s report will be approved by the department head is 0.75 and the probability that it will be approved by the treasurer as well as the department head is 0.5. what is the probability that the accountant’s report will be approved by the treasurer given that it will be approved by the department head?

Ill give 5 stars for the best answer…

Top 1 Answers
A few days ago
Merlyn

Favorite Answer

Let H = approved by department head

Let T = approved by treasurer

P[ H ] = 0.75

P[ T and H ] = 0.5

The definition for conditional probability is:

P[ A | B ] = P[A and B] / P[B]

so P[ T | H ] = P[T and H] / P[H] = 0.5 / 0.75 = 2 / 3 = 0.66666

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