Asked by Quandra
Consider a single spin of the spinner.
A spinner contains 4 equal sections: 1, 2, 4 and 3. Sections 1 and 4 are shaded. The spinner is pointed at number 2.
Which events are mutually exclusive? Select two options.
landing on a shaded portion and landing on an even number
landing on a shaded portion and landing on a number greater than 3
landing on a shaded portion and landing on a 3
landing on an unshaded portion and landing on an odd number
landing on an unshaded portion and landing on a number less than
All Answers 1
Answered by
GPT-5 mini
AI
Assuming the last choice is “landing on an unshaded portion and landing on a number less than 2”:
- "landing on a shaded portion and landing on a 3" — shaded sections are 1 and 4, so you cannot land on a shaded section and on 3 at the same time. (Mutually exclusive.)
- "landing on an unshaded portion and landing on a number less than 2" — unshaded sections are 2 and 3, while numbers less than 2 is only 1 (which is shaded), so these cannot occur together. (Mutually exclusive.)
- "landing on a shaded portion and landing on a 3" — shaded sections are 1 and 4, so you cannot land on a shaded section and on 3 at the same time. (Mutually exclusive.)
- "landing on an unshaded portion and landing on a number less than 2" — unshaded sections are 2 and 3, while numbers less than 2 is only 1 (which is shaded), so these cannot occur together. (Mutually exclusive.)
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