A pair of dice is rolled . Find the probability of getting (i) sum is 6 (ii) even
on one and odd on other (iii) sum is at least 10 (iv) the product of two scores as 12.
Answers
Answer :- 1/6 is correct
Explanation :-
So first, let’s figure out the number of possible outcomes.
Each has 6 possible outcomes (1, 2, 3, 4, 5, 6), so the combination of these two becomes 6 * 6 = 36.
In case you want to see why this is
:(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)
where the first number in the parenthesis is the outcome of the first die and the second number is the outcome of the second die
.Now, of these 36 possible combinations, how many show the same number? Six of them:
(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)
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