Question

Two different dice are thrown together. Find the probability that (i) the number on each die is odd. (ii) the sum of numbers appearing on the two dice is 6​

Answer 1

i) (i) Let the event that the number of each die is even.

Favourable outcomes ={(2,2),(2,4),(2,6),(4,2),(4,4),(4,6),(6,2),(6,4),(6,6)}

Probabaility that number on each dice is even = 9/36= 1/4

(ii) That the sum of numbers appearing on the two dice is 5.

Favourable outcomes ={(1,4),(2,3),(3,2),(4,1)}

Probability that the sum of the numbers apperaing on the two dice is 5= 4/36 = 1/9