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Two dice were thrown and it is known that the numbers which co

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Two dice were thrown and it is known that the numbers which come up were different. Find the probability that the sum of the two numbers was $5$ .

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Two dice were thrown and it is known that the numbers which come up were different. Find the probability that the sum of the two numbers was

5

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Text solutionVerified

Let

A =

event that the sum of two numbers appeared is

5

, and

B =

event that the two dice show different numbers.

Then,

A = {(2, 3), (3, 2), (1, 4), (4, 1)}

∴ n (A) = 4

total no. of cases happening (sample space)n(B)=(1,1),(1,2),.......(6,6)=36 \ cases

∴

then required probability

= P (A / B) = \frac{n ( A \cap B )}{n ( B )} = \frac{4}{36} = \frac{1}{9}

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Question Text	Two dice were thrown and it is known that the numbers which come up were different. Find the probability that the sum of the two numbers was $5$ .
Answer Type	Text solution:1
Upvotes	150