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Chapter 3: Q.3.48 (page 101)

Each of 2 cabinets identical in appearance has 2 drawers. Cabinet A contains a silver coin in each drawer, and cabinet B contains a silver coin in one of its drawers and a gold coin in the other. A cabinet is randomly selected, one of its drawers is opened, and a silver coin is found. What is the probability that there is a silver coin in the other drawer?

Short Answer

Expert verified

The probability that there is a silver coin in the other drawer is 23.

Step by step solution

01

Given Information

A: Event that a silver coin was found in one of the drawers.

B1: Event that the cabinet is A.

B2: Event that the cabinet is B.

02

Explanation

Here,PB1=PB2= 12

PAB1=1,PAB2=12

PB1A=PB1PAB1PB1PAB1+PB2PAB2

=12×112×1+12×12

=11+0.5=11.5=23

03

Final Answer

23

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