Consider a single spin of the spinner.

Which events are mutually exclusive? Choose all that apply.

a

landing on an unshaded sector and landing on a number less than 2

b

landing on a shaded sector and landing on a 3

c

landing on an unshaded portion and landing on an odd number

d

landing on a shaded sector and landing on an even number

e

landing on a shaded sector and landing on a number greater than 3

The question is incomplete

Find attached to the question, the appropriate diagram

a) landing on an unshaded sector and landing on a number less than 2

b) landing on a shaded sector and landing on a 3

Step-by-step explanation:

Mutually exclusive events are two events that can occur separately on their own but they cannot occur together or at the same time.

The options given are explained below:

We have two shaded sectors: 1 and 4

We have two unshaded sectors : 2 and 3

a) landing on an unshaded sector and landing on a number less than 2

Looking at option a, we find out that it is possible for the spinners to land on an unshaded sector separately likewise on a number less than 2 but it cannot land on an unshaded sector AND and number less than 2 because looking at the spinner, the numbers on the unshaded sectors are 2 ( is equal to two) and 3 ( which is above 2).

Therefore this option is mutually exclusive and correct.

b) landing on a shaded sector and landing on a 3

It is possible to land on a shaded sector likewise it is possible to land on a 3 but it is not possible to land on a shaded sector and land on a 3 at the same time.

This is because, the number on the shaded sector is 1 and 4 and the number on the unshaded sector is 2 and 3, we have only one spinner so the spinner can only land on one sector at a time.

Therefore, Option b is a mutually exclusive event and it is a correct option.

c) landing on an unshaded portion and landing on an odd number

The unshaded portion on the spinner has number 2 and 3 on them, therefore it is possible to land on an unshaded portion and odd number which is 3 at the same time.

Option c is not a mutually inclusive event and it is wrong.

d) landing on a shaded sector and landing on an even number

The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and even number which is 4 at the same time.

Option d is not a mutually inclusive event and it is wrong.

e)landing on a shaded sector and landing on a number greater than 3

The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and a number greater than 3 which is 4 at the same time.

Option e is not a mutually inclusive event and it is wrong.

Therefore, option a and option b are mutually exclusive events and they are correct.

squares, rhombus, rectangles