Free Printable WEEK 8: MUTUALLY EXCLUSIVE EVENTS

1.

It is an example of mutually exclusive events.

a)

Rolling a die and getting a 3 and an even number.

b)

Rolling a die and getting a 5 or a prime number.

c)

Rolling a die and getting a 5 or a prime number.

d)

None of these.

2.

It is NOT a mutually exclusive event.

a)

Drawing a diamond or a black card from a deck of cards.

b)

Drawing a Queen or a face card from a deck of cards.

c)

Drawing an ace or a face card from a deck of cards.

d)

None of these.

3.

Given that 𝑋 and 𝑌 are two mutually exclusive events in a sample space of a random experiment, determine 𝑋 ∩ 𝑌.

a)

X

b)

Y

c)

X $\cup$ Y

d)

$\phi$

4.

There are 3 English books, 4 Trigonometry books, and 2 Physics books on a shelf. If a book is randomly selected, what is the probability of selecting an English book or a Trigonometry book?

a)

$\frac{1}{3}$

b)

$\frac{5}{9}$

c)

$\frac{7}{9}$

d)

$\frac{4}{9}$

5.

In a deck of cards, what is the probability that a club or a diamond is drawn?

a)

$\frac{1}{4}$

b)

$\frac{3}{4}$

c)

$\frac{1}{2}$

d)

$\frac{8}{13}$

6.

You roll a fair six-sided die. What is the probability that the die shows a one or a six?

a)

$\frac{1}{6}$

b)

$\frac{1}{3}$

c)

$\frac{1}{2}$

d)

$\frac{2}{3}$

7.

Each of the numbers from 1 to 60 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 or a multiple of 3?

a)

$\frac{1}{2}$

b)

$\frac{2}{3}$

c)

$\frac{11}{15}$

d)

$\frac{5}{6}$

8.

A bag contains chips numbered from 1 to 14. One chip is picked at random. Find the probability of an odd number or a multiple of 3.

a)

$\frac{9}{14}$

b)

$\frac{5}{7}$

c)

$\frac{11}{14}$

d)

$\frac{6}{7}$

9.

You roll a fair six-sided die. What is the probability that the die shows a prime number or a number less than five?

a)

$\frac{1}{3}$

b)

$\frac{1}{2}$

c)

$\frac{2}{3}$

d)

$\frac{5}{6}$

10.

A tutoring service is offered to Grade 10 students. Among all the students seeking help from the service, 60% need help in mathematics, 35% need help in English, and 27% need help in both mathematics and English. What is the percentage of students who need help in either mathematics or English?

a)

33%

b)

25%

c)

95%

d)

68%

WEEK 8: MUTUALLY EXCLUSIVE EVENTS

Total questions: 10

Worksheet time: 50mins

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