Question
Two different dice are thrown together. Find the probability of getting a number greater than 3 on each die.
Solution
When two dice are thrown simultaneously, the possible outcomes can be listed as follows:
Outcome |
1 |
2 |
3 |
4 |
5 |
6 |
1 |
(1, 1) |
(1, 2) |
(1, 3) |
(1, 4) |
(1, 5) |
(1, 6) |
2 |
(2, 1) |
(2, 2) |
(2, 3) |
(2, 4) |
(2, 5) |
(2, 6) |
3 |
(3, 1) |
(3, 2) |
(3, 3) |
(3, 4) |
(3, 5) |
(3, 6) |
4 |
(4, 1) |
(4, 2) |
(4, 3) |
(4, 4) |
(4, 5) |
(4, 6) |
5 |
(5, 1) |
(5, 2) |
(5, 3) |
(5, 4) |
(5, 5) |
(5, 6) |
6 |
(6, 1) |
(6, 2) |
(6, 3) |
(6, 4) |
(6, 5) |
(6, 6) |
Total number of possible outcomes = 36
Outcomes where each die has a number greater than 3 = (4, 4), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)
Number of favourable outcomes = 9
Thus, the probability of getting a number greater than 3 on each die is `9/36=1/4`
Is there an error in this question or solution?
Solution Two Different Dice Are Thrown Together. Find the Probability of Getting a Number Greater than 3 on Each Die. Concept: Probability Examples and Solutions.