Question

7.A fair die is thrown two times. Find the probability that
a)sum of the number on them is 5
b)sum of the number on them is atleast 8
c)first throw gives a multiple of 2 and second throw gives a multiple of 3
d)product of number on them is 12
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Answer 1

Answer:

sample space = 36

p denotes probability.

a) sum of the number on them is 5

(1,4) , (2,3), (3,2), (4,1)

p is 4/36 =1/9

b) sum of the number atleast 8

(2,6),(3,5),(3,6),(4,4), (4,5),(4,6), (5,3),(5,4),(5,5), (5,6),(6,3),(6,4),(6,5),(6,6)

p is 14/36= 7/18

c) According to question

(2,3),(2,6),(4,3),(4,6),(6,3),(6,6)

p is 6/36= 1/6

d) according to question

(2,6),(3,4),(4,3),(6,2)

p is 4/36= 1/9

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