Answer:
(9)
(10) (11)
(12)
(13)
14)
(15) (16)0
Step-by-step explanation:
The sample Space of the single die rolled twice is presented below:
{(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),}.
n(S)=36
(9)Probability of getting two numbers whose sum is 9.
The possible outcomes are: (3, 6), (4, 5), (5, 4)
10) Probability of getting two numbers whose sum is 4.
The possible outcomes are: (1, 3),(2, 2),(3, 1),
11.)Find the probability of getting two numbers whose sum is less than 7.
The possible outcomes are: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)
12.Probability of getting two numbers whose sum is greater than 8
The possible outcomes are:(4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)
(13)Probability of getting two numbers that are the same (doubles).
The possible outcomes are:(1, 1)(2, 2), (3, 3), (4, 4), (5, 5), (6, 6)
14.Probability of getting a sum of 7 given that one of the numbers is odd.
The possible outcomes are: (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)
(15)Probability of getting a sum of eight given that both numbers are even numbers.
The possible outcomes are: (2, 6), (4, 4), (6, 2)
16.Probability of getting two numbers with a sum of 14.
