A pair of dice are thrown once. Find the probability of getting the same number (doublet) on each dice.

Asked by Topperlearning User | 8th Nov, 2017, 01:37: PM

Expert Answer:

When the dice are thrown, the number of out comes are as follows:
 
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
 
Hence, the total number of outcomes = 36
There are 6 ways of obtaining the same number on each dice which are
(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)

therefore space straight P left parenthesis getting space the space same space number space on space each space dice right parenthesis equals 6 over 36 equals 1 over 6

Answered by  | 8th Nov, 2017, 03:37: PM