# Question: A number of years ago there was a popular television

A number of years ago, there was a popular television game show called Let’s Make a Deal. The host, Monty Hall, would randomly select contestants from the audience and, as the title suggests, he would make deals for prizes. Contestants would be given relatively modest prizes and would then be offered the opportunity to risk those prizes to win better ones.

1. Before Monty shows you what’s behind curtain C, what is the probability that the car is behind curtain A? What is the probability that the car is behind curtain B?

2. After Monty shows you what’s behind curtain C, what is the probability that the car is behind curtain A? What is the probability that the car is behind curtain B?

1. Before Monty shows you what’s behind curtain C, what is the probability that the car is behind curtain A? What is the probability that the car is behind curtain B?

2. After Monty shows you what’s behind curtain C, what is the probability that the car is behind curtain A? What is the probability that the car is behind curtain B?

## Answer to relevant Questions

Suppose that there are two people in a room. The probability that they share the same birthday (date, not necessarily year) is 1/365, and the probability that they have different birthdays is 364/365. To illustrate, suppose ...The distance a car travels on a tank of gasoline is a random variable.a. What are the possible values of this random variable?b. Are the values countable? Explain.c. Is there a finite number of values? Explain.d. Is the ...Refer to Exercise 7.14. Find the following probabilities.a. No headsb. One headc. Two headsd. At least one headThe natural remedy echinacea is reputed to boost the immune system, which will reduce the number of flu and colds. A 6-month study was undertaken to determine whether the remedy works. From this study, the following ...When food is irradiated with gamma rays from a cobalt-60 source, does the food become radioactive? Defend your answer.Post your question