Exploring Probability and Decision Making

A fair coin is flipped. What is the probability of getting heads?

A bag contains 3 red balls and 2 blue balls. If one ball is drawn at random, what is the probability that it is red?

• $0.00

• $1.00

• $-0.33

• $-1.00

A lottery has a 1 in 1000 chance of winning a $500 prize. What is the expected value of a single lottery ticket?

• $0.50

• $0.05

• $0.10

• $0.25

You are organizing a raffle with 100 tickets sold. There is one prize of $100. What is the expected value of buying one ticket?

• $0.00

• $1.00

• $-1.00

• $-0.50

A teacher wants to randomly select a student from a class of 30 students to answer a question. What method should the teacher use to ensure fairness?

• Choose the student sitting in the front row

• Use a random number generator to select a student

• Pick the student with the highest grade

• Ask for a volunteer

• Project A

• Project B

• Both have the same expected value

• Cannot be determined

A spinner is divided into 4 equal sections numbered 1 to 4. What is the probability of the spinner landing on an even number?

A game show offers a contestant a choice between two doors. Behind one door is a car, and behind the other is a goat. What is the probability of winning the car if the contestant randomly picks a door?

• $100

• $150

• $200

• $250