10.3-10.5 Review WS
Algebra II
Name _______________________
Hour _______
ONE card is randomly drawn from a standard deck of 52 cards. Find the probability of
drawing the given card.
1. A Queen
2. A face card and an heart
3. A black card or a heart
4. A 5 or an ace
5. A 3 and a King
6. Not a face card
TWO cards are randomly drawn from a standard deck of 52 cards. Find the probability of
drawing the given cards.
7. A face card followed by a 10 if the first card is replaced
8. A face card followed by a 10 if the first card is not replaced
9. A heart followed by a 10 if the first card is replaced
10. A red followed by a club if the first card is not replaced
DICE
11. You roll a die. What is the probability of rolling an even or a 5?
12. You roll a die. What is the probability of rolling an even or a 4?
13. You roll a die twice. What is the probability of rolling a 1 then a 3?
14. You roll a die three times. What’s the probability of rolling an even, then an odd, then a 5?
Let n be a randomly selected integer between 1 and 20. Find the probability of n.
15. n is odd
16. n is NOT a multiple of 5
17. n is a multiple of 5
18. n is a perfect square
19. n is a 3 given that it is odd
20. n is even given that it is prime
21. On a Friday night, a pizza place sold 300 pizzas that had pepperoni, sausage, or both on
them. 50% of the pizzas had pepperonis, 30% had sausages, and 12% had both.
a. Find the probability a pizza had just pepperoni.
b. Find the probability a pizza had pepperoni or sausage.
22. A college lecture class is made up of 400 students: 250 freshman (150 males, 100 females)
and 150 sophomores (80 males, 70 females).
a. What is the probability that a randomly selected student is a freshman male?
b. What is the probability that a randomly selected student is a female given it is a
sophomore?
c. What is the probability that a randomly selected student is a male or a sophomore?
23. Events A and B are disjoint. Find the indicated probability. 𝑃(𝐴) = 0.35, 𝑃(𝐵) = 0.4
𝑃(𝐴 𝑜𝑟 𝐵) = ______________
24. Events A and B are joint. Find the indicated probability. 𝑃(𝐴) = 0.65, 𝑃(𝐵) = 0.27,
𝑃(𝐴 𝑎𝑛𝑑 𝐵) = 0.15.
𝑃(𝐴 𝑜𝑟 𝐵) = _______________
25. Events A and B are independent. Find the indicated probability. 𝑃(𝐴) = 0.7, 𝑃(𝐵) = 0.14.
𝑃(𝐴 𝑎𝑛𝑑 𝐵) = ________________
26. Event A and B are dependent. Find the indicated probability. 𝑃(𝐴) = 0.4, 𝑃(𝐵|𝐴) = 0.45.
𝑃(𝐴 𝑎𝑛𝑑 𝐵) = _______________
27. Let U be the set of all integers from 1-20. Let A= {1, 5, 7, 8, 11, 15, 19}, B= {2, 3, 4, 9, 13,
14, 20} and let C= {1, 3, 7, 9, 10, 18, 19}. Find the indicated set.
a. 𝐴 ∪ 𝐶
b. 𝐴 ∩ 𝐶
c. 𝐴̅
d. 𝐴 ∩ 𝐵
e. ̅̅̅̅̅̅̅
𝐶∪𝐵
f. 𝐵 ∪ (𝐴 ∩ 𝐶)