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?
![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 class=](https://us-static.z-dn.net/files/d86/9c787df2e87396ad51edd6aa4b2685c1.png)
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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