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A spinner is divided into 8 identical sectors and labeled 1 through 8.

How many spins are expected for a multiple of 3 to be spun 6 times?

The spinner is expected to have to spin approximately ______ times for a multiple of 3 to be spun 6 times.

Question 8 options:

12


16


24


48

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elamathsolver

Answer:

The answer is 12

Step-by-step explanation:

1-8(6)

The multiples of 3 would be 3 and 6.

3 and 6 are found 12 times within those 6 spins

For one spin

  • Sample space ={1,2,..,8}

So

  • |S|=8

Elements which are multiple of 3

  • 3,6

So

Total probability

  • 2/8=1/4

Now

For 6 spins

Total time spins as multiple of 3

  • 2(6)=12 times
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