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A die has its six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown together and the total score is recorded. How many different scores are possible

Solution:

Given, a die has its six faces marked 0, 1, 1, 1, 6, 6.

Two such dice are thrown together and the total score is recorded.

We have to find how many different scores are possible.

When two dice are thrown, the possible outcomes are

(0,0) (0,1) (0,1) (0,1) (0,6) (0,6)

(1,0) (1,1) (1,1) (1,1) (1,6) (1,6)

(6,0) (6,1) (6,1) (6,1) (6,6) (6,6)

Number of possible outcomes = 36

Scores which are possible = 0, 1, 2, 6, 7 and 12.

Number of scores which are possible = 6

Therefore, the number of scores is 6.

✦ Try This: A die has its six faces marked 0, 1, 3, 5, 7, 9. Two such dice are thrown together and the total score is recorded. How many different scores are possible?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 39(i)

A die has its six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown together and the total score is recorded. How many different scores are possible

Summary:

A die has its six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown together and the total score is recorded. 6 different scores are possible

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