#### 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`

Is there an error in this question or solution?

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.