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Question

Question: The probability that A, B, C solve a problem is ½, 2/3 and ¾. The probability that the problem will ...

The probability that A, B, C solve a problem is ½, 2/3 and ¾. The probability that the problem will be solved is

A

1/24

B

23/24

C

7/12

D

5/12

Answer

23/24

Explanation

Solution

Required probability = 1 – problem will not be solved.

= 1 – P( ABC)\overline { \mathrm { A } } \cap \overline { \mathrm { B } } \cap \overline { \mathrm { C } } )

= 1-