Thus, probability is given by .
Question: 39
A die has its six faces marked 0, 1, 1, 1, 6, 6. Two such
dice are thrown together and the total score is
recorded.
(i) How many different scores are possible?
(ii) What is the probability of getting a total of 7?
Solution:
The total number of all possible outcomes if two dice
are thrown at the same time are 36.
(i) The total outcomes are (0, 0), (0, 1), (0, 6), (1, 0),
(1, 1), (1, 6), (6, 0), (6, 1), (6, 6).
So, the total number of favourable outcomes
On adding the two numbers, following scores are
possible, i.e. 0, 1, 6, 2, 7, 12.
Thus, 6 different scores are possible.
(ii) Number of favourable outcomes