Free Printable Quiz 2 Probability

Worksheets

Quiz 2 Probability

Total questions: 40

Worksheet time: 3hrs 47mins

Name

Class

Date

In Oliver's class of 25 students, 8 play an instrument and 9 play a sport. Harper and William are among the 3 students who play both an instrument and a sport! What is the probability that a student who plays an instrument does not play a sport?

5/8 or 0.625

3/8 or 0.375

2/5 or 0.4

1/2 or 0.5

Luna, Avery, and William are curious about the education levels in their town! If an adult is chosen at random, what is the probability that this person has a high school degree or some college, but does not have a college degree?

0.563

0.421

0.678

0.312

Given P(A) = 0.66, P(B) = 0.35 and P(A ∩ B) = 0.291, find the value of P(A ∪ B), rounding to the nearest thousandth.

0.719

0.701

0.999

0.341

Given that events A and B are independent with P(A) = 0.06 and P(A ∩ B) = 0.036, determine the value of P(B), rounding to the nearest thousandth, if necessary.

0.6

0.216

0.054

0.42

Given that events A and B are independent with P(A) = 0.73 and P(B|A) = 0.5, determine the value of P(B), rounding to the nearest thousandth, if necessary.

0.5

0.365

0.73

0.865

Scarlett, Ava, and Anika are helping their teachers prepare fun lessons for Distance Learning, but they keep sneaking pieces of Easter candy! The table below shows how many candies each teacher has. If a piece of candy is picked at random, what is the probability that it came from either Mrs. Stiles or Mrs. Anderson's stash? Find P( $Mrs\ S\ \cup\ Mrs\ A$ ).

$\frac{0}{149}$

$\frac{47}{149}$

$\frac{52}{149}$

$\frac{99}{149}$

During a school picnic, Daniel, Mia, and Ava surveyed their classmates about their favorite drinks. They found that 60% of students like tea, 45% like coffee, and 25% enjoy both. If you randomly pick a student from the group, what is the probability that the student likes tea or coffee?

0.45

0.70

0.25

0.80

Given that events E and F are independent with P(E) = 0.2 and P(F) = 0.5, what is the probability that both E and F occur?

0.1

0.7

0.4

0.3

James and Evelyn are playing a game! James flips two coins and wonders if the outcome of one flip will change the other. This is an example of (a) events because the result of one event (b) affect the result of the other. Meanwhile, Evelyn draws two cards from a deck and thinks about whether the first card she picks will change what she gets next. This is an example of (c) events because the result of one event (d) affect the result of the other.

Choose from the below words

independent

dependent

mutually exclusive

complementary

10.

P( men | $Sports^c$ )
Write your answer in fraction
(not simplified)

11.

Aiden, Benjamin, and Ethan are on a mission to spot sharks at a random beach in California! The probability distribution below shows the percentage of shark sightings for each day. Can you help them figure out what percent of the days there are EXACTLY 5 shark sightings?

0.97

0.96

0.04

0.03

12.

The table shows the probability distribution of the number of televisions in each hose in a community.
What is the probability that a house in the community will have at least 3 televisions?

0.69

0.31

0.18

0.09

13.

Isla, William, and Michael are curious about the working adults in their city! The table below shows the probability distribution X, representing the employment status of adults in their city.

If Isla randomly meets an adult in the city, what is the probability that the person she meets isn't retired?

(a)

14.

Henry and Zoe are watching the sky after a rainstorm, hoping to spot a rainbow. The probability that they see a rainbow (Event A) is 0.3. What is the probability that they do NOT see a rainbow (the complement of Event A)?

30%

3/100

7/100

0.7

15.

Michael, Scarlett, and William are playing a dice game! If Scarlett rolls a die, what is the complement of her rolling a 3?

Rolling an odd number

Not rolling a 3

Rolling an even number

16.

Grace, Mia, and Scarlett are playing a game with two sets, F and H, as shown in the Venn diagram. Can you help them figure out what P(F ∪ H) is?

0.258

0.678

0.516

0.774

17.

Anika, Mason, and Mia are helping their teachers prepare fun lessons for Distance Learning, but they keep sneaking pieces of Easter candy! The table below shows how many candies each teacher has. If a piece of candy is picked at random, what is the probability that it either came from Mrs. Anderson or is a Jelly Bean? (Find P( $Mrs\ Anderson\ \cup\ Jelly\ Bean$ )).

$\frac{108}{149}$

$\frac{47}{149}$

$\frac{101}{149}$

$\frac{47}{101}$

18.

In a class of 18 students, 13 play an instrument and 11 play a sport. There are 8 students who play an instrument and also play sport. What is the probability (in simplest form of fraction) that a student chosen randomly from the class plays a sport?

19.

What is the probability that a female is chose given they like a Toyota?

.525

.4627

.6774

.3143

20.

What is the probability that a student plays an instrument

.55

.45

21.

What is the probability that a student plays on a sports team given they don't play an instrument?

.7273

.55

.2222

22.

What is the probability that they speak French given they are a girl?

2.14

.24

.8571

23.

What is the probability that a randomly selected student plays sports given that they do not do community service?

$\frac{4}{27}$

$\frac{4}{12}$

$\frac{4}{9}$

$\frac{4}{5}$

24.

P(Sandals|Pants):

4/20

6/15

1/2

4/14

25.

Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis.

Set B: The names begin with a vowel

Set E: The name ends with a vowel

Label the Diagram.

a)Ellis

b)Alicia

c)Steve

d)Don

26.

Consider this Venn Diagram. The survey questions were "Do you own a cat?" and "Do you own a dog?"
If a single person who participated in this survey is selected at random, what is the probability that they own either a dog or a cat?

11/15

1/6

5/6

4/15

27.

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.13 and the probability that the flight will be delayed is 0.13. The probability that it will rain and the flight will be delayed is 0.01. What is the probability that the flight would be delayed when it is not raining? Round your answer to the nearest thousandth.

28.

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.11 and the probability that the flight will be delayed is 0.15. The probability that it will not rain and the flight will leave on time is 0.81. What is the probability that it is raining if the flight has been delayed?

Round your answer to the nearest thousandth.

29.

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.15 and the probability that the flight will be delayed is 0.09. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is not raining if the flight leaves on time?

Round your answer to the nearest thousandth.

30.

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is aged 40-49 is chosen at random, what is the probability that they have completed a bachelor's or master's degree?

Round your answer to the nearest thousandth.

31.

Given that events A and B are independent with

P(A)=0.1 and P(B)=0.33,

determine the value of P(A∩B), rounding to the nearest thousandth, if necessary.

32.

Independent events: the occurrence of one event (a) the probability of another event

Dependent events: the occurrence of one event (b) the probability of another event (sometimes called “not independent”)

Choose from the below words

does not affect

does affect

33.

Identify the shaded area...

34.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football?

⁶⁶/₈₀

⁴/₈₀

¹⁸/₈₀

⁴⁹/₈₀

35.

How many students do not snowboard?

36.

Determine the probability of History or/uninon Science

denoted P(H $\cup$ S)

P(H or S) =

$\frac{3\ }{21}$

P(H or S) =

$\frac{4\ }{21}$

P(H or S) =

$\frac{3\ +5+9}{21}$

P(H or S) =

$\frac{4\ +5+9}{21}$

37.

Determine the probability of History or/union Science Complement

denoted P(H $\cup$ S)'

P(H or S)' =

$\frac{3\ }{21}$

P(H or S)' =

$\frac{4\ }{21}$

P(H or S)' =

$\frac{3\ +5+9}{21}$

P(H or S)' =

$\frac{4\ +5+9}{21}$

38.

Determine the probability of History and/intersection Science

denoted P(H $\cap$ S)

P(H and S) =

$\frac{3\ }{21}$

P(H and S) =

$\frac{4\ }{21}$

P(H and S) =

$\frac{3\ +5+9}{21}$

P(H and S) =

$\frac{4\ +5+9}{21}$

39.

Ms. Stringer conducted a survey of his 9th grader homeroom. 17 students are taking both Econ and Business. 19 students are only taking Econ. 18 students are only taking Business. 16 students are taking other courses.

40.

P(not Eat Healthy) in percent

Round it off to the nearest thousandths if necessary.

(a)

100 %

Quiz 2 Probability

Total questions: 40

Worksheet time: 3hrs 47mins

Similar Resources on Wayground