Probability Quiz
Short Answer
1. If a dart hits the target at random, what is the
probability that it will land in the shaded region?
20 in.
4 in.
Drawing not to scale
2. Evaluate
.
3. On the following dartboard, the radius of the bullseye (area A) is 4 inches. The radius of each
concentric circle is 4 inches more than the circle
inside it. If a person throws randomly onto the
dartboard, what is the probability that the dart will
hit in area B?
7. Using a sixteen-sided number cube, what is the
probability that you will roll an even number or an
odd prime number? Round to three decimals.
8. A bag contains 7 red marbles, 4 white marbles, and
3 blue marbles. Find P(red or blue).
9. Teesha is in the French club. There are 24 students
in the club. The French teacher will pick two
students at random to guide visiting students from
France. What is the probability that Teesha will not
be picked as a guide?
10. There are 7 students participating in a spelling bee.
In how many ways can the students who go first
and second in the bee be chosen?
11. A spinner is numbered from 1 through 10 with each
number equally likely to occur. What is the
probability of obtaining a number less than 4 or
greater than 6 in a single spin?
4. A circular dartboard has a radius of 2 meters and a
red circle in the center. Assume you hit the target at
a random point. For what radius of the red center
region does P(hitting red) = 0.6?
5. Evaluate
.
6. This is a spinner used in a board game. What is the
probability that the spinner will land on a multiple
of 3 and 4?
12. Lynn and Dawn tossed a coin 60 times and got
heads 32 times. What is the experimental
probability of tossing heads using Lynn and
Dawn’s results?
13. A bag contains 9 red marbles, 4 white marbles, and
5 blue marbles. Find P(red and blue).
14. Find the probability that a point chosen at random
from
is on the segment
.
J K L M N O P Q R S T
0
2
4
6
8
10
15. Find the probability that a point chosen at random
will lie in the shaded area.
21. A jar contains 6 blue cubes, 4 blue spheres, 7 green
cubes, and 7 green spheres. If you select an object
at random, what is the probability that the object is
green or a cube?
22. Verne has 6 math books to line up on a shelf. Jenny
has 4 English books to line up on a shelf. In how
many more orders can Verne line up his books than
Jenny?
24
23. A yogurt shop offers 3 different flavors of frozen
yogurt and 11 different toppings. How many
choices are possible for a single serving of frozen
yogurt with one topping?
24. In how many different orders can you line up 6
cards on a table?
16. If all possible results are equally likely, what is the
probability that a spin of the spinner will land on an
upper case letter or a consonant?
17. What is the theoretical probability of being dealt
exactly two 5's in a 5-card hand from a standard 52card deck?
.
18. Suppose S and T are mutually exclusive events.
Find P(S or T). P(S) = 21%, P(T) = 64%
19. What is the theoretical probability of being dealt
exactly three 2's in a 5-card hand from a standard
52-card deck?
20. Two urns contain white balls and yellow balls. The
first urn contains 3 white balls and 8 yellow balls
and the second urn contains 7 white balls and 8
yellow balls. A ball is drawn at random from each
urn. What is the probability that both balls are
white?
25. In how many ways can 3 singers be selected from 9
who came to an audition?
Probability Quiz
Answer Section
SHORT ANSWER
1
25
2. 15,120
1.
3.
4. 1.55 cm
5. 5
6.
7. 0.813
5
8.
7
11
9.
12
10. 42 ways
7
11.
10
8
12.
15
13. 0
4
14.
5
15. 0.32
16. 0.9
2162
17.
54145
18. 85%
94
19.
54145
7
20.
55
5
21.
6
22. 696
23. 33
24. 720
25. 84