Consider a die with only four sides, marked one, two, three, and four. (a) Write out a sample space for rolling a pair of these dice. Die Two 1 3 (1, 1) 1 · I- ) (2 - 2- ) (2 (3.2) E) ( ^E' ^B) ( ^O' Die One x) (3 ,国) (回 Assuming equally likely outcomes, find the probability that the sum of the dice is the given number. (Enter the probabilities as fractions.) (b) P(two) 1/240 x (c) P(three) 1/60 x (d) _P(four) 3/16 (e) P(five) 1/15 X () P(six) 1/60 x (9) P(seven) 3/80 x
Consider a die with only four sides, marked one, two, three, and four. (a) Write out a sample space for rolling a pair of these dice. Die Two 1 3 (1, 1) 1 · I- ) (2 - 2- ) (2 (3.2) E) ( ^E' ^B) ( ^O' Die One x) (3 ,国) (回 Assuming equally likely outcomes, find the probability that the sum of the dice is the given number. (Enter the probabilities as fractions.) (b) P(two) 1/240 x (c) P(three) 1/60 x (d) _P(four) 3/16 (e) P(five) 1/15 X () P(six) 1/60 x (9) P(seven) 3/80 x
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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Transcribed Image Text:Consider a die with only four sides, marked one, two, three, and four.
(a) Write out a sample space for rolling a pair of these dice.
Die Two
1
2
3
1, 1)
(回v,回v)(回v国)(回レ回。
1
2.
2
Die One
(3.2)
(1 - , 1 - ) (4 v 2- ) (1- 3 - ) (4- , 4 -)
3
4
Assuming equally likely outcomes, find the probability that the sum of the dice is the given number. (Enter the probabilities as fractions.)
(b) P(two)
1/240 X
P(three)
1/60 X
(c)
P(four)
3/16
(d)
(e)
P(five)
1/15 X
P(six)
(f)
1/60 X
(g)
P(seven)
3/80 X
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