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Q.

A pair of fair dice is thrown and one die shows a 4. The probability that the other die shows 5 is


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a

1 6

b

1 2

c

1 3

d

2 11  

answer is D.

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Detailed Solution

Given that 2 dices are thrown. And one die has 6 faces.
We know, if pair of dice is thrown that sample space that one dice shows a four is,
= {(1,4), (2,4), (3,4), (4,4), (5,4), (6,4), (4,1), (4,2), (4,3), (4,5), (4,6)}
Possible outcomes that other dice shows 5 when first dice shows 4 = (4,5), (5,4).
Hence, number of favorable outcomes is 2.
The probability that the other die shows 5 is 2 11 .
Therefore, option 4 is correct.
 
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A pair of fair dice is thrown and one die shows a 4. The probability that the other die shows 5 is