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Which statement best explains why one spinner is more likely to land on a section labeled A than the other spinner

User Dngfng
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1 Answer

4 votes

Options :

A: Spinner 1 is more likely to land on section A because it has two sections labeled A ans spinner 2 has only one section labeled A

B:Spinner 1 is more likely to land on section A because the fraction of the spinner covered by section A is greater on spinner 1 than on spinner 2

C: Spinner 2 is more likely to land on section A because all of its outcomes are equally likely and Spinner 1's outcomes are not equally likely.

D: Spinner 2 is more likely to land on section A because the fraction of the spinner covered by section A is greater on Spinner 2 than on spinner 1.

Answer:

B:Spinner 1 is more likely to land on section A because the fraction of the spinner covered by section A is greater on spinner 1 than on spinner 2

Explanation:

For spinner 1 :

A covers 2 out the of the 4 sections, hence,

Probability that the spinner will land on A is 2 / 4 = 1/2

While for spinner 2 ;

There are 3 sections of which A covers one of them ;

Hence, Probability that spinner lands on A for spinner 2 is ;

1 / 3

1/2 > 1/3

Which statement best explains why one spinner is more likely to land on a section-example-1
User Mehul Bisht
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