Question

two dice, one blue & one grey, are thrown at the same time. write down all the possible outcomes. what us the probability that the sum of two numbers appearing on the top of the dice \n1, 8 \n2 , less than 8 \n3, more than or equal to 8

Answer 1

Solution:-

Sample Space :

(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)

P(Sum is 8) = (2, 6); (3, 5); (4, 4); (5, 3); (6, 2)/36
= 5/36

P(Sum is less than 8) = (1, 1); (1, 2); (1, 3); (1, 4); (1, 5); (1, 6); (2, 1); (2, 2); (2, 3); (2, 4); (2, 5); (3, 1); (3, 2); (3, 3); (3, 4); (4, 1); (4, 2); (4, 3); (5, 1); (5, 2); (6, 1)/36
= 21/36
= 7/12

P(Sum is more than or equal to 8) = (2, 6); (3, 5); (3, 6); (4, 4); (4, 5); (4, 6); (5, 3); (5, 4); (5, 5); (5, 6); (6, 2); (6, 3); (6, 4); (6, 5); (6, 6)/36
= 15/36
5/12

Answer.