Free Printable Intro to Compound Probability

1.

Which of the following is a compound event?

a)

Getting at least 2 heads when tossing a coin thrice.

b)

Choosing a female student from a class.

c)

Three turning up in rolling a die once.

d)

Picking a dress in the closet.

2.

A = 〈pink, blue, red, brown, green, white〉

What is the cardinality of A?

a)

2

b)

3

c)

5

d)

6

3.

If G = 〈x/x is a multiple of 3 from 1 to 10〉 and H = 〈y/y is an even number from 2 to 12〉

What is G $\cap$ H?

a)

〈3, 6, 9〉

b)

〈2, 4, 6, 8, 10〉

c)

〈2, 6〉

d)

〈6〉

4.

If G = 〈x/x is a multiple of 3 from 1 to 10〉 and

H = 〈y/y is an even number from 2 TO 12〉

What is G ∪ H?

a)

〈2,3,4,6,8,10〉

b)

〈2,3,4,6,8,9,10,12〉

c)

〈2,3,12〉

d)

〈3,6,9,12〉

5.

How many possible outcomes are there in tossing a coin THRICE?

a)

2

b)

4

c)

6

d)

8

6.

In drawing a single card from a standard deck of cards, how many possible outcomes are there?

(a)

7.

What is the probability of picking a vowel from the letters of the word "COORDINATE"?

a)

$\frac{5}{9}$

b)

$\frac{4}{11}$

c)

$\frac{1}{2}$

d)

$\frac{2}{5}$

8.

There are 20 mangoes and 22 apples in a basket. If a fruit is picked at random, what is the probability of picking a mango?

a)

$\frac{10}{21}$

b)

$\frac{10}{11}$

c)

$\frac{5}{12}$

d)

$\frac{20}{21}$

9.

In turning the spinner on the left, what is the probability of having the arrow stopped at the color GREEN?

a)

$\frac{2}{7}$

b)

$\frac{1}{5}$

c)

$\frac{1}{4}$

d)

$\frac{2}{3}$

10.

What is the probability of picking a KING from a standard deck of cards?

a)

$\frac{4}{13}$

b)

$\frac{2}{23}$

c)

$\frac{1}{13}$

d)

$\frac{4}{23}$

11.

In a standard deck of cards, find the probability of picking a spade or a heart?

a)

$\frac{3}{4}$

b)

$\frac{1}{2}$

c)

$\frac{13}{29}$

d)

$\frac{26}{51}$

12.

In tossing a coin twice, find the probability of having 2 heads.

a)

$\frac{5}{8}$

b)

$\frac{3}{4}$

c)

$\frac{1}{4}$

d)

$\frac{3}{8}$

13.

A box contains 8 black marbles, 12 white marbles, and 5 yellow marbles. If a marble is drawn at random, what is the probability of getting a black or a white marble?

a)

$\frac{17}{25}$

b)

$\frac{12}{25}$

c)

$\frac{13}{25}$

d)

$\frac{4}{5}$

14.

. A letter is randomly chosen from the word “MATHEMATICS”. Find the probability that a letter A or T is

selected?

a)

$\frac{2}{11}$

b)

$\frac{4}{11}$

c)

$\frac{6}{11}$

d)

$\frac{7}{11}$

15.

Two fair dice are rolled once. What is the probability of getting a sum that is greater than 6 but less than 9?

a)

$\frac{5}{18}$

b)

$\frac{2}{3}$

c)

$\frac{7}{18}$

d)

$\frac{11}{36}$

16.

The Venn diagram shows the result of a survey on children who like apples and oranges. How many children were asked to participate in the survey?

a)

30

b)

43

c)

53

d)

60

17.

The figure shows a survey conducted on children who like apples, oranges, both and neither. If a child is selected at random, find the probability that a child likes oranges alone?

a)

$\frac{23}{60}$

b)

$\frac{33}{43}$

c)

$\frac{23}{43}$

d)

$\frac{33}{50}$

18.

The probability of choosing a male and a Grade 10 student for SSLG President, is an example of a (a) probability.

19.

A spinner is divided into 6 congruent parts and is numbered 1 to 6. If it is spun once, find the probability of spinning a 2 or a number less than 5?

a)

$\frac{1}{6}$

b)

$\frac{1}{2}$

c)

$\frac{2}{3}$

d)

$\frac{5}{6}$

20.

Each of the numbers 1 to 12 is written on a card and placed in a bag. If one card is drawn at random, what is

the probability that the number is a multiple of 2 and a multiple of 3?

(a)

Intro to Compound Probability

Total questions: 20

Worksheet time: 26mins

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