A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. The slots 0 and 00 are colored green, 18 of the others are red, and 18 are black. The dealer spins the wheel and, at the same time, rolls a small ball along the wheel in the opposite direction. The wheel is carefully balanced so that the ball is equally likely to land in any slot when the wheel slows. Gamblers can bet on various combinations of numbers and colors. A) What is the probability of any one of the 38 possible outcomes? Explain your answer. B) If you bet on “red,” you win if the ball lands in a red slot. What is the probability of winning? C) A friend tells you that the odds that a bet on “red” will win are 10 to 9. Is your friend correct? If not, what are the correct odds? D The slot numbers are laid out on a board on which gamblers place their bets. One column of numbers on the board contains all multiples of 3, that is, 3, 6, 9, … , 36. You place a “column bet” that wins if any of these numbers comes up. What is your probability of winning?
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.
A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. The slots 0 and 00 are colored green, 18 of the others are red, and 18 are black. The dealer spins the wheel and, at the same time, rolls a small ball along the wheel in the opposite direction. The wheel is carefully balanced so that the ball is equally likely to land in any slot when the wheel slows. Gamblers can bet on various combinations of numbers and colors.
A) What is the
B) If you bet on “red,” you win if the ball lands in a red slot. What is the probability of winning?
C) A friend tells you that the odds that a bet on “red” will win are 10 to 9. Is your friend correct? If not, what are the correct odds?
D The slot numbers are laid out on a board on which gamblers place their bets. One column of numbers on the board contains all multiples of 3, that is, 3, 6, 9, … , 36. You place a “column bet” that wins if any of these numbers comes up. What is your probability of winning?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
