4. You toss three 6-sided dice and record the sum of the three faces facing up. a) Describe precisely a sample space S for this experiment. S{3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18} b) What is the probability that the sum is 16 or more? P(16) + P(17) + P(18) c) What is the probability the sum is exactly 4 or 5? 9 P(Sum = 4or5) = P(4) + P(5) = = 0.0416 216 d) What is the probability the sum is less than 17? 4 P(Sum <17) = 1 – P(18) – P(17) = 1 -: 216 = 0.981 = 10 216 0 0.046

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4. You toss three 6-sided dice and record the sum of the three faces facing up.
a) Describe precisely a sample space S for this experiment.
S{3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18}
b) What is the probability that the sum is 16 or more?
P(16) + P(17) + P(18)
c) What is the probability the sum is exactly 4 or 5?
9
P(Sum = 4or5) = P(4) + P(5) = = 0.0416
216
d) What is the probability the sum is less than 17?
4
P(Sum <17) = 1 – P(18) – P(17) = 1 -:
216
= 0.981
=
10
216
0 0.046
Transcribed Image Text:4. You toss three 6-sided dice and record the sum of the three faces facing up. a) Describe precisely a sample space S for this experiment. S{3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18} b) What is the probability that the sum is 16 or more? P(16) + P(17) + P(18) c) What is the probability the sum is exactly 4 or 5? 9 P(Sum = 4or5) = P(4) + P(5) = = 0.0416 216 d) What is the probability the sum is less than 17? 4 P(Sum <17) = 1 – P(18) – P(17) = 1 -: 216 = 0.981 = 10 216 0 0.046
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