Question

A manager has 2 assistants and he bases his decision on information supplied independentlyby each one of them. The probability that he makes a mistake in his thinking is 0.005. Theprobability that an assistant gives wrong information is 0.3. Assuming that the mistakesmade by the manager are independent of the information given by the assistants, find theprobability that he reaches a wrong decision.

Answer 1

Answer:

0.695

Explanation:

0.005+0.3 = 0.305

1 - 0.305 = 0.695

Answer 2

Thus the probability of wrong decision is 0.09

Explanation:

• The probability that both the assistants will be right =  [1 - (0.3)^2]
• The probability that both the assistants will be right = 0.7^2
• The probability that both the assistants will be right = 0.49
• The probability that both the assistants will be wrong = 0.3^2 = 0.09
• The probability that one will be wrong and one will be right = 2 x .3 x 0.7
• The probability that one will be wrong and one will be right =  0.42
• Thus the probability of wrong decision is 0.09