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WorksheetsChapter 9: Probability of combined events
Total questions: 20
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
The tree diagram shows the outcomes of rolling a die and flipping a coin.
What is the probability of rolling an even number and flipping a head?
What is the probability of rolling an even number and flipping a head?
a)
3/12
b)
1/2
c)
4/12
d)
0/12
2.
The tree diagram shows the outcomes of rolling a die and flipping a coin.
How many total outcomes are there?
How many total outcomes are there?
a)
6
b)
12
c)
24
d)
36
3.
P(1 and A)
a)
1/16
b)
1/10
c)
4/16
d)
1/4
4.
Three coins are tossed. How many outcomes have either two heads or two tails?
a)
8
b)
6
c)
2
d)
4
5.
The daily special at the House of Pies offers one of three featured pies and your choice of coffee, tea, milk or juice. How many ways can you order the special?
a)
12
b)
8
c)
15
d)
6
6.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?
a)
1/12
b)
1/4
c)
1/8
d)
1/2
7.
The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the complete set of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
8.
What is the probability that you will get plain crust with ham on your pizza?
a)
1/8
b)
1/2
c)
1/10
d)
2/10
9.
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
a)
1 ⁄ 6
b)
1 ⁄ 8
c)
1 ⁄ 2
d)
1 ⁄ 12
10.
Is the event INDEPENDENT or DEPENDENT?
Amy plays card games. She picks a card at random. Then without putting the first card back, he picks a second card at random.
Amy plays card games. She picks a card at random. Then without putting the first card back, he picks a second card at random.
a)
Independent
b)
Dependent
11.
Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice. What is the probability that it lands on red first and then blue?
The spinner is spun twice. What is the probability that it lands on red first and then blue?
a)
Independent
b)
Dependent
12.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)
a)
1/18
b)
2/5
c)
3/7
d)
4/9
13.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
a)
3/20
b)
1/4
c)
3/31
d)
2/27
14.
What is the probability when Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Sue will select a treat, not replace it, and then select a second treat. Find P(gumball then lollipop)
a)
1/24
b)
4/15
c)
1/100
d)
2/10
15.
Which formula do you use when two events are mutually exclusive?
a)
P(A or B) = P(A) + P(B)
b)
P(A or B) = P(A) + P(B) - P(both)
c)
P(A and B) = P(A) * P(B)
d)
P (A and B) = P(A) * P(B|A)
16.
If you roll one die, what is the probability of getting an odd number or a 4?
a)
2/3
b)
1/3
c)
1/2
d)
1/6
17.
Which formula do you use when two events are NOT mutually exclusive?
a)
P(A or B) = P(A) + P(B)
b)
P(A or B) = P(A) + P(B) - P(A or B)
c)
P(A and B) = P(A) * P(B)
d)
P (A and B) = P(A) * P(B|A)
18.
Which of the following shows how to determine P(shaded number or number less than five)?
a)
4/8 + 4/8 - 2/8
b)
4/9 + 2/8 - 4/8
c)
4/8 + 6/8 + 2/8
d)
2/8 + 4/8 - 4/8
19.
A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble?
a)
8/15
b)
6/11
c)
3/4
d)
2/3
20.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
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