Question

Which events are mutually exclusive ? Choose all that apply

Answer 1

The events that are mutually exclusive are Landing on a shaded sector and landing on the number three and Landing on an unshaded sector and landing on a number less than 2.

Mutually exclusive means that a combination of occurrences can never occur.

a) landing on a number greater than three while in a shaded area:

This is possible; for example, you could land in the 4.

b) landing in an even number on a dark sector.

Again, sector 4 is an even number and a shaded sector, thus these events do not conflict.

c) uncolored and odd number

This event is not mutually exclusive because you can land in the 3, which is unshaded and an odd number.

d) Landing on a shaded sector and landing on the number three

Because 3 is an unshaded sector, you can never land in 3 and a shaded sector at the same time; the two are mutually exclusive.

e) Landing on an unshaded sector with a number less than two.

Because 1 is the only integer smaller than 2, and sector 1 is darkened, these events are mutually exclusive.

Answer 2

Answer: options d and e.

Explanation:

Mutually exclusive means that a combinations of events never can happen.

a) landing on a number bigger than 3 and in a shaded area:

This can happen, for example, you can land in the 4.

b) landing on a shaded sector and landing in a even number.

Again, the sector 4 is a even number and a shaded sector, so this events are not mutually exclusive.

c) unshaded and odd number,

Here you can land in the 3, that is unshaded and an odd number, so these events are not mutually exclusive.

d) Landing on a shaded sector and landing on the 3,

Here we have that the 3 is a unshaded sector, so you can never land in 3 and in a shaded sector at the same time, these are mutually exclusive.

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

The only number less than 2 is the 1, and sector 1 is shaded, so these events are mutually exclusive.