Question

In: Statistics and Probability

In a carnival game, a player spins a wheel that stops with the pointer on one...

In a carnival game, a player spins a wheel that stops with the pointer on one (and only one) of three colors. The likelihood of the pointer landing on each color is as follows: 65 percent BLUE, 20 percent RED, and 15 percent GREEN. Note: Your answers should be rounded to three decimal places. (a) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on BLUE. What is the probability that we will spin the wheel exactly three times? (b) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on RED. What is the probability that we will spin the wheel at least three times? (c) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on GREEN. What is the probability that we will spin the wheel 2 or fewer times?

Solutions

Expert Solution

This problem is an example of Geometric distribution applications.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

In a carnival game, a player spins a wheel that stops with the pointer on one...
In a carnival game, a player spins a wheel that stops with the pointer on one (and only one) of three colors. The likelihood of the pointer landing on each color is as follows: 62 percent BLUE, 24 percent RED, and 14 percent GREEN. Note: Your answers should be rounded to three decimal places. (a) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on BLUE. What is...
In a carnival game, a player spins a wheel that stops with the pointer on one...
In a carnival game, a player spins a wheel that stops with the pointer on one (and only one) of three colors. The likelihood of the pointer landing on each color is as follows: 64 percent BLUE, 22 percent RED, and 14 percent GREEN. Note: Your answers should be rounded to three decimal places. (a) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on BLUE. What is...
In a carnival game, a player spins a wheel that stops with the pointer on one...
In a carnival game, a player spins a wheel that stops with the pointer on one (and only one) of three colors. The likelihood of the pointer landing on each color is as follows: 64 percent BLUE, 20 percent RED, and 16 percent GREEN. Note: Your answers should be rounded to three decimal places. (a) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on BLUE. What is...
A carnival game offers a $100 cash prize for a game where the player tries to...
A carnival game offers a $100 cash prize for a game where the player tries to toss a ring onto one of many pegs. Alex will play the ring toss game five times, with an 8% chance of making any given throw. What is the probability that Alex tosses one of the five rings onto a peg? What is the probability that Alex tosses more than one of the five rings onto a peg? If Alex tossed five rings again...
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into...
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into a location marked by one particular colored number. In the United States there are 18 locations colored red, 18 locations colored black and 2 locations colored green. The red and black locations are numbered 1-36 and the green locations are labeled "0" and "00" as shown in the picture to the right. The wheel therefore has 38 locations in total. Note that the odd...
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into...
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into a location marked by one particular colored number. In the United States there are 18 locations colored red, 18 locations colored black and 2 locations colored green. The red and black locations are numbered 1-36 and the green locations are labeled "0" and "00" as shown in the picture to the right. The wheel therefore has 38 locations in total. Note that the odd...
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into...
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into a location marked by one particular colored number. In the United States there are 18 locations colored red, 18 locations colored black and 2 locations colored green. The red and black locations are numbered 1-36 and the green locations are labeled "0" and "00" as shown in the picture to the right. The wheel therefore has 38 locations in total. Note that the odd...
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into...
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into a location marked by one particular colored number. In the United States there are 18 locations colored red, 18 locations colored black and 2 locations colored green. The red and black locations are numbered 1-36 and the green locations are labeled "0" and "00" as shown in the picture to the right. The wheel therefore has 38 locations in total. Note that the odd...
You make a carnival game, where the player rolls two fair dice (in a single roll)...
You make a carnival game, where the player rolls two fair dice (in a single roll) and attempts to roll doubles (meaning both dice show the same number). The player puts down a dollar to play the game. If the player loses, they lose their dollar. If the player wins, they win $3 (and do not lose their original dollar). Answer the following (5 pts total). If you are running the game, what is the expected value of how much...
A large wheel is attached to a boat and spins as the boat moves. A rock...
A large wheel is attached to a boat and spins as the boat moves. A rock becomes nudged in the wheel as it spins in the water. It is noticed that at t = 2 s, the rock is at the highest point 3 m above the water. At time t = 6 seconds, the rock is submerged in the water 5 m below the water(the lowest point). a. Graph 5 points to represent one cycle of the above problem....
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT