from a handpicked tutor in LIVE 1-to-1 classes

# 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.

**ā Related Questions:**

- Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on (i) the same day? (ii) consecutive days? (iii) different days?
- A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.
- A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball?If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x.
- A jar contains 24 marbles, some are green, and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 2/3ā Find the number of blue balls in the jar.

visual curriculum