WDYE?: Inv. 3 & 4 Test
Name: ____________________
Period: _____ Date: _________
1. The Odds or Evens Game costs $.75 to play. Before the game, 30 slips of paper, each with a
different number from 1-30 are put into a bag. A player draws one slip from the bag. If the player
draws a number that is a multiple of 5, he or she wins $3. What is the probability of winning the
1
game? 5, 10, 15, 20, 25, 30
6 out of 30 total numbers =
6
2. The diagram below shows the dart board in Marie’s basement. What is the probability that a dart
thrown will land in section B?
18 total parts,
7
7 are B’s. 7 out of a total of 18 =
18
Tua has created a new game called Making Green. To play the game, a player spins twice. If the player
gets blue in one section and yellow in the other, the player wins, because blue and yellow together
make green. The player can choose either spinner for either of their two spins.
3. Tua spins spinner A once and spinner B once. What is the probability she will get green? Show how
you got your answer.
B
Y
G
G
R
R
R
R
Y
B
2 out of the 24 are green
2
24
=
1
12
Use the spinner below to answer the following questions.
1
4
2
3
1
2
3
2 3
16 equal parts. Each number has 4 of the 16
4. You spin the spinner. Are the four possible outcomes 1, 2, 3, and 4 equally likely? Show your
work/method.
Yes, if you split up all the pieces equally – they each make
4
1
or .
16
4
5. If you spin the spinner 60 times, how many times would you expect to land on 4?
1
4
𝑥 60 = 15 𝑡𝑖𝑚𝑒𝑠
To pay you for mowing the lawn, your grandma puts money in a bag. The bag has two $5 bills and three $1
bills. You get to draw out 2 bills.
6. What is the theoretical probability of getting $10?
5
5
1
5
1
1
5
1
1
1
2 1
2
1
𝑥 =
𝑜𝑟
5 4
20
10
7. What is the probability of getting $2?
1
5
5
1
1
1
5
3 2
6
3
𝑥 =
𝑜𝑟
5 4 20 10
8. What other dollar amount could you draw, and what is it’s probability?
$6 =
12
6
3
𝑜𝑟 𝑜𝑟
20 10 5
5
1
1
1
5
5 1
1
Maribeth makes 30% of her free throws when she is in a one-on-one free-throw situation. Last season,
Maribeth was fouled 100 times and all resulted in a one-on-one free throw situation.
9. Construct an area model for Maribeth’s free-throw situations.
0
1
2
2
10.
What is Maribeth’s average number of points per free-throw situation?
0 area has 70 squares, so 70 shots get 0 points.
1 area has 21 shots, so 21 shots getting 1 point each = 21 points
2 area has 9 shots made, so 9 times 2 = 18.
0 + 21 + 18 = 39
11.
39 out of 100 total shots attempted =
39
100
𝑜𝑟 .39
A bag contains three red marbles and 2 white marbles. After a marble is drawn, it is replaced
before the next draw. What is the probability that a white marble will be drawn twice in a row?
Show your work/method.
2 2
4
𝑥 =
5 5
25
12.
3
5
A bag contains three red marbles and 2 white marbles. If a marble is drawn and is not replaced
before the second marble is drawn, what is the probability that EXACTLY two red marbles will
be drawn? Show your work/method.
𝑥
13.
2
11
2
4
=
6
20
𝑜𝑟
3
10
If a letter is randomly selected from the letters M,A,T,H,E,M,A,T,I,C, and S, what is the
probability that the letter will be M?
14.
3
C
8
A
D
15.
C
B
6
8
16.
1
8
8ℎ𝑖𝑡𝑠
10𝑏𝑎𝑡𝑠
𝑜𝑟
If the spinner is spun once, what is the probability that it
will not land in region C?
3
4
If the spinner is spun 48 times, how many times would you
expect it to land in region D?
𝑥 48 =
17.
If a letter is selected by spinning the spinner to the left,
what is the probability that the letter will be B?
48
8
𝑜𝑟 6 𝑡𝑖𝑚𝑒𝑠
Jennifer is on her school’s softball team. So far this season, Jennifer has 8 hits in 45 times at
bat. Next season, Jennifer wants to average 8 hits for every 10 times at bat. If she bats 80
times during the season, how many hits will she need to get to achieve her goal?
=
𝑥 ℎ𝑖𝑡𝑠
80𝑏𝑎𝑡𝑠
64 hits
Multiple Choice
____18.
Candice is the best hitter on her high school softball team. She gets on base safely
40% of the time. What is the probability that her next at bat will result in her getting on
base?
A.
____19.
B.
C.
D.
4
= 10
Justine decides to roll 2 number cubes 50 times. Which results should occur most
often?
1
A. The sum of the cubes will be even
2
B. The sum of the cubes will be less
1
than 4
C. The sum of the cubes will be 7
1
6
D. All of these combinations are equally
likely
12
____20.
The probability of rolling a 6 on a regular number cube is
cube 30 times, how many times would he expect to roll a 6?
A. 2
B. 4
C. 3
1
6
=
. If Jacob tosses a number
𝟓
30
D. 5
____21.
What is the probability of spinning a multiple of 2 on the spinner below?
6
8
A.
B.
𝑜𝑟
3
4
C.
D.
____22.
A spinner that has 5 sections of equal area, lettered A, B, C, D, E, is spun three times
in succession. Which is NOT part of the sample space?
A. (A-A-B)
B. (A-B-C)
C. (D-E-F)
D. (E-C-B)
No F in set
____23.
Find the sample space for tossing 3 coins. Then find P (exactly 3 heads).
A. 1
8
HHH
B. 1
2
TTH
TTT
C. 3
4
THT
THH
D. 1
4
HTT
HTH
HHH
____24.
How many different 3 letter arrangements can be made with the letters in the word
SMILE?
A. 10 arrangements
B. 12 arrangements
C. 25 arrangements
D. 20 arrangements
5!
5•4•3•2•1
=
= 10
3! (5 − 3)!
3 • 2 • 1(2 • 1)
BONUS.
A. 5
6
You roll a standard number cube. Find P (number greater than 0).
B. 0
C. 2
3
D. 1