Class 10
Maths :-Additional Questions - Set - 1 - Probability
Two different dice are thrown together. Find the probability of:
- getting a number greater than 3 on each die.
- getting a total of 6 or 7 of the numbers on two dice.
Answer:
1. When two dice are thrown together total possible outcomes = 6 X 6 = 36
Favourable outcomes when both dice have number more than 3 are (4, 4), (4, 5),(4, 6), (5, 4), (5, 5), (5, 6), (6,4), (6,5), (6, 6), i.e. 9 outcomes.
=9/36=1/42. Favourable outcomes when sum of the numbers appearing on the dice is 6 or 7 are, i.e. (1,5), (1, 6), (2,4), (2,5), (3,3), (3,4), (4, 2), (4, 3), (5,1), (5,2), (6,1), outcomes.
P(a total of 6 or 7) =11/36
