(2) You roll a die 8 times and tabulate the results, counting the total number of 1s, 2s, 3s, 4s, 5s, and 6s rolled. For example the table indicates that three 2s, one 3, two 1 2 3 4 5 6 0 3 10 2 2 5s and two 6s were rolled. (a) How many tables are possible? (b) How many possible tables contain zero zeroes? (c) Is the probability that the table contains zero zeroes given by your answer to part (b) divided by your answer to part (a)? Answer yes or no, and carefully justify you answer!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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All answers should be justified 

(2) You roll a die 8 times and tabulate the results, counting the
total number of 1s, 2s, 3s, 4s, 5s, and 6s rolled. For example
the table.
indicates that three 2s, one 3, two
1 2 3 4 5 6
0 3 1 0 2 2
5s and two 6s were rolled.
(a) How many tables are possible?
(b) How many possible tables contain zero zeroes?
(c) Is the probability that the table contains zero zeroes given
by your answer to part (b) divided by your answer to part
(a)? Answer yes or no, and carefully justify you answer!
Transcribed Image Text:(2) You roll a die 8 times and tabulate the results, counting the total number of 1s, 2s, 3s, 4s, 5s, and 6s rolled. For example the table. indicates that three 2s, one 3, two 1 2 3 4 5 6 0 3 1 0 2 2 5s and two 6s were rolled. (a) How many tables are possible? (b) How many possible tables contain zero zeroes? (c) Is the probability that the table contains zero zeroes given by your answer to part (b) divided by your answer to part (a)? Answer yes or no, and carefully justify you answer!
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