devarshi-dt-logo

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?

Solution:

+122336
1233447
2344558
2344558
3455669
3455669
67889912
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