# A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws:

What is the probability that the total score is

(i) even? (ii) 6? (iii) at least 6?

**Solution:**

We know that,

Probability = Number of possible outcomes / Total number of outcomes

+ | 1 | 2 | 2 | 3 | 3 | 6 |

1 | 2 | 3 | 3 | 4 | 4 | 7 |

2 | 3 | 4 | 4 | 5 | 5 | 8 |

2 | 3 | 4 | 4 | 5 | 5 | 8 |

3 | 4 | 5 | 5 | 6 | 6 | 9 |

3 | 4 | 5 | 5 | 6 | 6 | 9 |

6 | 7 | 8 | 8 | 9 | 9 | 12 |

Total number of possible outcomes = 6 × 6 = 36

(i) Number of possible outcomes when the sum is even = 18

The probability that the total score is even = Number of possible outcomes/Total number of outcomes

= 18/36

= 1/2

(ii) Number of possible outcomes when the sum is 6 = 4

Probability of getting the sum as 6 = Number of possible outcomes / Total number of outcomes

= 4/36

= 1/9

(iii) Number of possible outcomes when the sum is at least 6 (greater than 5) = 15

Probability of getting the sum at least 6 = Number of possible outcomes / Total number of outcomes

= 15/36

= 5/12

Check out more on terms of probability.

**ā Check: **NCERT Solutions for Class 10 Maths Chapter 15

**Video Solution:**

## A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws: What is the probability that the total score is (i) even? (ii) 6? (iii) at least 6?

NCERT Solutions for Class 10 Maths Chapter 15 Exercise 15.2 Question 2

**Summary:**

A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. The table is completed. The probability that the total score is (i) even is 1/2, (ii) 6 is 1/9, and (iii) at least 6 is 5/12.

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