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. The following table gives values of the total score on two throws.
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Answer 1

+ 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 no. of possible outcomes when 2 dice are thrown 6×6=36

i) Total times when the sum is even =18

P(Getting an even no.)=18/36=1/2

ii) Total times when the sum is 6 =4

P(Getting sum as 6)= 4/36=1/9

iii) Total times when the sum is atleast 6=15

P(Getting sum atleast 6.)=15/36=5/12