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Consider a single spin on the spinner shown below. Which events are mutually exclusive? Check all that apply.

landing on an unshaded portion and landing on 2
landing on a shaded portion and landing on 3
landing on a shaded portion and landing on an even number
landing on an unshaded portion and landing on a number greater than 3
landing on a shaded portion and landing on an unshaded portion

Consider a single spin on the spinner shown below. Which events are mutually exclusive-example-1
User Alex Ryan
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8.6k points

2 Answers

3 votes

Answer:

A, B, E

Explanation:

I just did it on edge and got it right

User ColinWa
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7.7k points
4 votes

Answer:

Options A, B and E represent mutually exclusive events.

Explanation:

Two events are mutually exclusive that can not happen at a same time.

Now let us look at our options and find which statements represent mutually exclusive events.

A. We can see that landing on an unshaded portion and landing on 2 are mutually exclusive events as unshaded portion contains 3 and 4 and 2 lies on shaded portion.

B. Landing on a shaded portion and landing on 3 is also mutually exclusive as 3 lies on unshaded portion.

C. Landing on a shaded portion and landing on an even number can happen at the same time as 2 is an even number and it lies on shaded portion.

D. Landing on an unshaded portion and landing on a number greater than 3 can happen at the same time as 4 in greater than 3 and it lies on unshaded portion.

E. Landing on a shaded portion and landing on an unshaded portion are mutually exclusive events as spinner can be either in shaded portion or in unshaded portion.

Therefore, Options A, B and E are our correct choices.

User Melursus
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8.0k points
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