If two balanced dice are rolled, the possible outcomes can be represented as fol
ID: 3363916 • Letter: I
Question
If two balanced dice are rolled, the possible outcomes can be represented as follows
(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)
(1,2) (2,2) (3,2) (4,2) (5,2) (6,2)
(1,3) (2,3) (3,3) (4,3) (5,3) (6,3)
(1,4) (2,4) (3,4) (4,4) (5,4) (6,4)
(1,5) (2,5) (3,5) (4,5) (5,5) (6,5)
(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)
1. Determine the probability that the sum of the dice is 9.
A. 5/36
B.
C. 1/12
D. 1/9
2. Determine the probability that the sum of the dice is 4 or 10.
A. 7/36
B. 5/36
C. 2/9
D. 1/6
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3. A committee of three people is formed. The three people will be selected from a list of possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. (Hint: There are 10 possible samples.)
A.
B. ½
C.
D. 7/10
Explanation / Answer
Solution:
1) option D. 1/9
Explanation:- If two dice are thrown the set of outcomes that ensure the sum is 9 is {(3, 6), (6,3), (4, 5), (5, 4)}. The total number of possible outcomes is 6*6 = 36
This gives the required probability as 4/36 = 1/9
2) option D. 1/6
Explanation :- 3/36 + 3/36 = 6/36 = 1/6
3) option A. 3/5