# 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:**

To solve this question, first, find out the total number of outcomes and all the possible outcomes. Now, to find the probability use the formula given below:

Probability = No. of possible outcomes / Total no. 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) No. of possible outcomes when the sum is even = 18

The probability that the total score is even = No of possible outcomes/Total no of outcomes

= 18/36

= 1/2

(ii) No. of possible outcomes when the sum is 6 = 4

Probability that of getting the sum 6 = No. of possible outcomes / Total no. of outcomes

= 4/36

= 1/9

(iii) No. of possible outcomes when the sum is at least 6 (greater than 5) = 15

Probability that of getting the sum at least 6 = No. of possible outcomes / Total no. of outcomes

= 15/36

= 5/12

Check out more on terms of probability.

**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:

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?

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.