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Ch. 13 Test Review
1.
A circle is inscribed inside a square. If a point inside the square is selected at random, what is the probability that the point
will also be inside the circle?
2.
You have a full deck of 52 cards. If there are four queens in the deck, what is the probability that out of two cards dealt to
you both are queens?
3.
A bag contains four blue marbles, four red marbles, and two green marbles in a bag. If one marble is drawn, and then a
second is drawn without replacement, what is the probability that at least one of the two marbles will be red?
4.
The Sugar Shak has a “make your own sundae” bar. You can choose one of three ice creams (strawberry, chocolate, or
vanilla), one of three sauces (strawberry, caramel, or chocolate), and one of four toppings (peanuts, whipped cream, cherry,
or M&Ms). How many difference sundaes can be made?
5.
A lottery is being run at a high school to allocate parking spots. The school has 200 seniors, 300 juniors, 350 sophomores,
and 450 freshmen. Each eligible senior will have their name entered into the lottery twice, with all other eligible students’
names being entered once. Only juniors and seniors will be eligible for parking spots. If there are 150 parking spots, what
are the odds that any given junior will receive a spot?
6.
A card is drawn from a standard deck and not replaced. Then a second card is drawn. What is the probability that both
cards are aces?
7.
Jonus rolls a die two times. What is the probability that he rolls an even number and then an odd number?
8.
What is the probability of not drawing a diamond from a standard deck of 52 cards?
9.
A die is rolled 3 times. How many outcomes are possible?
̅̅̅̅̅. Find P(X is on 𝑀𝑁
̅̅̅̅̅).
10. Point X is chosen at random on 𝑀𝑃
11. What is the probability of drawing a 2 or a heart from a standard deck of cards?
12. What is the probability of drawing a card from a standard deck and not drawing a face card?
13. In Maya’s sophomore class of 100 students, 89% wore their school T-shirt on school spirit day. If 2 people are chosen at
random from the entire class, what is the probability that at least one of them did not wear their T-shirt?
14. Three of ten members of the AV club are randomly chosen to read the morning announcements for the month of May.
What is the probability that the three freshmen in the club are chosen?
15. Find the probability that a point chosen at random inside the circle also lies in the square.
16. In a game a pair of dice are rolled.
Find the probability that the sum of the numbers rolled is 8?
17. Using the spinner shown, what is the probability the pointer lands on yellow or red?
18. A game is played where players take turns rolling two six-sided dice, each with sides numbered 1-6.
The numbers on the two dice are added together for each player’s score. If the first player rolls a
sum of 10, what is the probability that the second player rolls a HIGHER total?
ANSWERS:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
𝜋⁄
4
0.0045
2⁄
3
36
3⁄
14
1⁄
221
1⁄
4
3⁄
4
216
1⁄
4
4⁄
13
9⁄
13
0.9879
1⁄
120
20%
5⁄
36
13⁄
36
1⁄
12
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