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Question

Question: A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected randomwise, the p...

A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected randomwise, the probability that it is a black or red ball is

A

13\frac { 1 } { 3 }

B

14\frac { 1 } { 4 }

C

512\frac { 5 } { 12 }

D

23\frac { 2 } { 3 }

Answer

23\frac { 2 } { 3 }

Explanation

Solution

P(Black or Red) =5C1+3C112C1=23= \frac { { } ^ { 5 } C _ { 1 } + { } ^ { 3 } C _ { 1 } } { { } ^ { 12 } C _ { 1 } } = \frac { 2 } { 3 }.