tow dice one blue and grey are thrown at the same time write down all possible outcomes that what is the probability that the sum of two numbers appearing on the top of a dice is a,)8 and B )15
Answers
Step-by-step explanation:
let the total outcomes =
(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)
(i) 5/36
(ii) 0
Answer:
Outcomes= (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
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
(i)Sum is 8
Favourable outcomes = (2, 6), (3, 5), (4, 4), (5, 3),(6, 2) = 5
P(sum is 8) =
(ii)Sum is 13
Favourable Outcomes = 0
P(sum is 13) = 0
Since the maximum sum that can be obtained is 12.
(iii) Less than or equal to 12
Possible outcomes = All outcomes have sum less than or equal to 7.
P(less than or equal to 12) = 1