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 Field bet Bet that the sum of the numbers showing on all 3 dice will be 5, 6, 7, 8, 13, 14, 15, or 16 Pays $1 Over 10 Bet that the sum of the numbers showing on all 3 dice will be more than 10 Pays $1 Under 11 Bet that the sum of the numbers showing on all 3 dice will be less than 11 Pays $1 Find the probability that none of the dice will show a 2. (Enter your probability as a fraction.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 | |
| Field bet | Bet that the sum of the numbers showing on all 3 dice will be 5, 6, 7, 8, 13, 14, 15, or 16 |
Pays $1 |
| Over 10 | Bet that the sum of the numbers showing on all 3 dice will be more than 10 |
Pays $1 |
| Under 11 | Bet that the sum of the numbers showing on all 3 dice will be less than 11 |
Pays $1 |
Find the
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
