Find the probability that none of the dice will show a 1. (Enter your probability as a fraction.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Find the probability that none of the dice will show a 1. (Enter your probability as a fraction.)

Chuck-a-luck is a game of chance in which 3 dice in a cage are tumbled. Bets can be placed on the values that the 3 dice will show. The table below shows the different bets and the amount won if $1 is wagered.
Numbers bet
Bet on a number from 1 through 6
if 1 die matches
Pays $1
if 2 dice match
Pays $2
if all 3 dice match
Pays $10
Bet that the sum of the numbers showing on all 3
dice will be 5, 6, 7, 8, 13, 14, 15, or 16
Field bet
Pays $1
Bet that the sum of the numbers showing on all 3
dice will be more than 1o
Over 10
Pays $1
Bet that the sum of the numbers showing on all 3
dice will be less than 11
Under 11
Pays $1
Transcribed Image Text:Chuck-a-luck is a game of chance in which 3 dice in a cage are tumbled. Bets can be placed on the values that the 3 dice will show. The table below shows the different bets and the amount won if $1 is wagered. Numbers bet Bet on a number from 1 through 6 if 1 die matches Pays $1 if 2 dice match Pays $2 if all 3 dice match Pays $10 Bet that the sum of the numbers showing on all 3 dice will be 5, 6, 7, 8, 13, 14, 15, or 16 Field bet Pays $1 Bet that the sum of the numbers showing on all 3 dice will be more than 1o Over 10 Pays $1 Bet that the sum of the numbers showing on all 3 dice will be less than 11 Under 11 Pays $1
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