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Question: A bag contains 3 red 4 blue and 5 yellow colour balls. 3 balls are drawn one by one in succession w...

A bag contains 3 red 4 blue and 5 yellow colour balls. 3 balls

are drawn one by one in succession without replacement. what is the probability of getting Red, blue, and yellow balls, in same order.

A

1/22

B

21/22

C

3/22

D

5/22

Answer

1/22

Explanation

Solution

Let A, B, C be the event of drawing R, B & Y balls in three consecutive draws with replacement.

P(1) = 411\frac { 4 } { 11 }; P(C/A∩B) = 510\frac { 5 } { 10 }

P(A∩B∩C) = 14×411×12=122\frac { 1 } { 4 } \times \frac { 4 } { 11 } \times \frac { 1 } { 2 } = \frac { 1 } { 22 } .