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Two Different Dice Are Tossed Together. Find the Probability : of Getting a Doublet and F Getting a Sum 10, of the Numbers on the Two Dice. - CBSE Class 10 - Mathematics

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Question

Two different dice are tossed together. Find the probability :

1) of getting a doublet

2) of getting a sum 10, of the numbers on the two dice.

Solution

The sample space S will be as follows:

  1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

n(S) = 36

1) A: Getting a doublet

A = {(1,1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}

n(A)  = 6

`P(A) = (n(A))/(n(s)) = 6/36 = 1/6`

2) B: Getting sum 10

B = {(5, 5), (6, 4), (4, 6)}

n(B) = 3

`P(B ) = (n(B))/(n(S)) = 3/36 = 1/12`

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Solution Two Different Dice Are Tossed Together. Find the Probability : of Getting a Doublet and F Getting a Sum 10, of the Numbers on the Two Dice. Concept: Probability Examples and Solutions.
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