Q: The central angle of sector E is 71 degrees and the central angle of sector F is 39 degrees. What is the probability that the spinner does not land on sector F or E?

Question

High School

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Answer :

anuksha0456 anuksha0456 · Answer 1 · 2024-11-01T22:43:44-04:00

The probability that the spinner does not land on sector F or E is 25/36.

In the question, we are given that the central angle of sector E is 71° and the central angle of sector F is 39°.

We are asked for the probability that the spinner does not land on sector F or E.

The total central angle for a circle is 360°.

The probability of the spinner landing on sector E = 71°/360°.

The probability of the spinner landing on sector F = 39°/360°.

Thus, the probability of the spinner landing on sector F or E = 71°/360° + 39°/360° = 110°/360°.

Thus, the probability of the spinner not landing on sector F or E = 1 - 110°/360° = 250°/360° = 25/36.

Thus, the probability that the spinner does not land on sector F or E is 25/36.

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