Question

Two dice are rolled is the probability of getting 1) a prime number on each dice 2)a total of 9or11 ?​

Answer 1

1. The outcomes of getting prime number on both dices are

(2,3) , (3,2) , (2,5) , (2,2) , (3,3) , (3,5) , (5,2) , (5,3) , (5,5)

Total = 10

P = 10/36 = 5/18

2. There are total 6 outcomes which give sum of 9 or 11

P = 6/36 = 1/6

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Answer 2

the outcomes of two dice is:-

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

so,

a] p(prime number on each dice)= 20/36 =5/9

b] p(total of 9 or 11) = 5/36