Quiz: Probability of Joint Occurrences

In a promotion at a store, each customer gets a chance to randomly draw a ticket from a box. There are 100 tickets. 20 tickets say “Winner!” and 80 tickets say “Sorry. Try again next time.” Use this data for questions 1 through 9.

1. What is the probability that a customer wins?
a. 0.20
b. 0.25
c. 0.80
2. Assume the ticket is replaced after each customer plays. What is the probability when two customers play that both win?
a. 0.04
b. 0.20
c. 0.40
3. Assume the ticket is replaced after each customer plays. What is the probability when two customers play that both lose?
a. 0.64
b. 0.80
c. 1.60
4. Assume the ticket is replaced after each customer plays. What is the probability when two customers play that the first customer wins and the second customer loses?
a. 0.16
b. 0.20
c. 0.32
5. Assume the ticket is replaced after each customer plays. What is the probability when two customers play that exactly one customer wins and the other loses?
a. 0.16
b. 0.32
c. 0.36
6. Assume the ticket is NOT replaced after each customer plays. What is the probability when two customers play that both win?
a. 0.0384
b. 0.04
c. 0.3919
7. Assume the ticket is NOT replaced after each customer plays. What is the probability when two customers play that both lose?
a. 0.6384
b. 0.64
c. 0.80
8. Assume the ticket is NOT replaced after each customer plays. What is the probability when two customers play that the first customer wins and the second customer loses?
a. 0.16
b. 0.1616
c. 0.20
9. Assume the ticket is NOT replaced after each customer plays. What is the probability when two customers play that exactly one customer wins and the other loses?
a. 0.1616
b. 0.32
c. 0.3232

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