Probability Final Assessment | Homework Practice

Core Vocabulary

Question 1mcq

In drawing one card from a shuffled deck, what is an outcome?

A.The full deck only

B.The formula for probability

C.A class interval

D.One possible card drawn

Question 2mcq

A bag has

7

white and

3

black balls. Find

P(\text{black})

.

A.

\frac{3}{7}

B.

\frac{10}{3}

C.

\frac{3}{10}

D.

\frac{7}{10}

Question 3mcq

Which is the sample space for rolling one die and noting parity?

A.

\{0,1\}

only

B.

\{\text{odd},\text{even}\}

C.

\{1,2,3,4,5,6\}

only

D.

\{H,T\}

Question 4mcq

One die is rolled. What is

P(\text{number greater than }4)

?

A.

\frac{1}{3}

B.

\frac{1}{2}

C.

\frac{2}{3}

D.

\frac{4}{6}

Question 5mcq

If

P(E)=0.82

, find

P(\text{not }E)

.

A.

0.82

B.

1.82

C.

0.28

D.

0.18

Question 6mcq

Which event is certain for one die roll?

A.Getting

8

B.Getting both

2

and

5

C.Getting a number from

1

to

6

D.Getting

0

Standard Problems

Question 7mcq

Which value is not a valid probability?

A.

1

B.

1.2

C.

0

D.

\frac{3}{4}

Question 8mcq

One die is rolled. Find

P(\text{multiple of }2)

.

A.

\frac{1}{2}

B.

\frac{1}{3}

C.

\frac{2}{3}

D.

\frac{5}{6}

Question 9mcq

Two dice are rolled. What is the probability of getting sum

2

?

A.

\frac{2}{36}

B.

\frac{1}{6}

C.

\frac{1}{12}

D.

\frac{1}{36}

Question 10mcq

Two coins are tossed. What is

P(\text{at least one head})

?

A.

\frac{1}{2}

B.

1

C.

\frac{3}{4}

D.

\frac{1}{4}

Question 11mcq

Three coins are tossed. What is

P(\text{exactly two heads})

?

A.

\frac{2}{3}

B.

\frac{3}{8}

C.

\frac{1}{8}

D.

\frac{1}{2}

Question 12mcq

From a deck of cards, what is

P(\text{heart})

?

A.

\frac{1}{4}

B.

\frac{1}{13}

C.

\frac{4}{13}

D.

\frac{13}{4}

Real-life Contexts

Question 13mcq

One number is chosen from

1

to

30

. What is the probability of choosing a multiple of

5

?

A.

\frac{5}{30}

B.

\frac{1}{6}

C.

\frac{4}{5}

D.

\frac{1}{5}

Question 14mcq

A class has

18

boys and

12

girls. One student is chosen randomly. What is

P(\text{girl})

?

A.

\frac{12}{18}

B.

\frac{1}{2}

C.

\frac{2}{5}

D.

\frac{3}{5}

Question 15mcq

A student counts only favourable outcomes in the denominator. What mistake is this?

A.Choosing a certain event

B.Confusing favourable outcomes with total outcomes

C.Using complement correctly

D.Listing sample space correctly

Question 16mcq

Which pair correctly names probability vocabulary?

A.Experiment: tossing a coin; outcome: heads

B.Experiment: heads; outcome: tossing a coin

C.Experiment: probability; outcome: formula

D.Experiment: frequency; outcome: class width

Question 17mcq

There are

9

equally likely slips numbered

1

to

9

. Find probability of selecting an odd number.

A.

\frac{4}{9}

B.

\frac{1}{2}

C.

\frac{9}{5}

D.

\frac{5}{9}

Question 18mcq

For a coin and a die tossed together, how many equally likely outcomes are in the sample space?

A.

6

B.

8

C.

12

D.

2

Error Analysis

Question 19mcq

A number from

1

to

12

is selected. What is

P(\text{factor of }12)

?

A.

\frac{5}{12}

B.

\frac{1}{2}

C.

\frac{1}{3}

D.

\frac{2}{3}

Question 20mcq

If

P(\text{passing})=\frac{9}{10}

, what is

P(\text{not passing})

?

A.

\frac{1}{10}

B.

\frac{9}{10}

C.

\frac{10}{9}

D.

0

Question 21mcq

Probability of an impossible event is:

A.

1

B.

\frac12

C.Greater than

1

D.

0

Question 22mcq

If an answer to a probability problem is negative, what does it indicate?

A.The event is equally likely.

B.The sample space has one outcome.

C.There is an error because probability cannot be negative.

D.The event is certain.

Question 23mcq

A survey picks one student from

40

students,

16

of whom prefer football. What is

P(\text{not football})

?

A.

\frac{1}{5}

B.

\frac{3}{5}

C.

\frac{2}{5}

D.

\frac{16}{40}

Question 24mcq

A spinner has unequal sector sizes, but a student treats all colours as equally likely. What is the likely issue?

A.The outcomes may not be equally likely.

B.The probability must be

0

.

C.The sample space is empty.

D.The spinner cannot have events.