Question A? 82. Three unusual dice, A, B, and C, are constructed such that die A
ID: 3386482 • Letter: Q
Question
Question A?
82. Three unusual dice, A, B, and C, are constructed such that die A has the numbers 1 3,4,4, 8, 8; die B has the numbers 1,1,5, 5,9,9; and die C has the numbers 2, 2, 6, 6, 7, 7. a. If dice A and B are rolled, find the probability that B beats A. that is. the number that appears on die B is greater than the number that appears on die A. b. If dice B and Care rolled, find the probability that C beats B. c. If dice A and Care rolled, find the probability that A beats C. d. Which die is better? Explain.Explanation / Answer
a)let us take combinations of A and B for such to occur->
(3,5),(3,9),(4,5),(4,9),(8,9)
ans= P(B win) = 5/9
b) combinations for B and C to beat B-> (1,2),(1,6),(1,7),(5,6),(5,7)
ans= P(C win) = 5/9
c) combinations for A and C to beat C-> (3,2),(4,2),(8,2),(8,6),(8,7)
ans= P(C win) = 5/9
d) all are the same as the cumulative score of each die - eg-A= 3+4+8/3 =15/3 is same for all