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Question: If for two events A, B ; P (A\(\frac { 5 } { 7 }\), P(2) = \(\frac { 4 } { 7 }\) , then A, B are...

If for two events A, B ; P (A57\frac { 5 } { 7 },

P(2) = 47\frac { 4 } { 7 } , then A, B are

A

Independent events

B

Mutually exclusive

C

Equally likely

D

Forming an exhaustive system

Answer

Mutually exclusive

Explanation

Solution

P(1) = 27\frac { 2 } { 7 } P(2) = 47\frac { 4 } { 7 }

P(A B) = 67\frac { 6 } { 7 } = P(1) + P(2)

Ž P(A B) = 0 Ž mutually exclusive