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Class 10
Mathematics
Probability
a die is numbered in such a way that its faces sho...

Question:
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?

Answer:

+

1

2

3

4

5

6

1

2

3

3

4

4

7

2

3

4

4

5

5

8

3

3

4

4

5

5

8

4

4

5

5

6

6

9

5

4

5

5

6

6

9

6

7

8

8

9

9

12

Total no of outcomes = 6×6 = 36

(i) Even

Total no of favourable outcomes = 18

P(Even) = 18/36 = ½

(ii) Sum is 6

Total no of favourable outcomes = 4

P (sum is 6) = 4/36 =1/9

(iii) Sum is at least 6

Total no of favourable outcomes = 15

P(sum is at least 6) = 15/36 = 5/12

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