A pass on is numbered so that its faces show the numbers 1, 2, 2, 3, 3, 6. It is tossed multiple times and the complete score in two tosses is noted. Complete the accompanying table which gives a couple of upsides of the absolute score on the two tosses:
A pass on is numbered so that its faces show the numbers 1, 2, 2, 3, 3, 6. It is tossed multiple times and the complete score in two tosses is noted. Complete the accompanying table which gives a couple of upsides of the absolute score on the two tosses:

What is the likelihood that the absolute score is

(I) even?

(ii) 6?

(iii) something like 6?

Solution:

The table will be as per the following:

• 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

Along these lines, the all out number of results = 6×6 = 36

(I) E (Even) = 18

P (Even) = 18/36 = ½

(ii) E (aggregate is 6) = 4

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

(iii) E (aggregate is atleast 6) = 15

P (aggregate is atleast 6) = 15/36 = 5/12