Question

For a probability experiment, Larry spins the spinner below 200 times.In the spinner above, the section labeled "2" is twice as large as each of the sections labeled "3", "4", and "5"; the section labeled "1" is three times as large as each of the sections labeled "3", "4", and "5". About how many times should Larry expect to land on "1"?A. 40B. 100C. 25D. 75

Answer 1

`\text{ D: 75}`

Step-by-step explanation:

Here, we want to get the number of times it is expected that the spinner lands on 1

Let us have the size of each of sections 3,4,5 as x

Now, the size of section 2 is twice as large 3,4,5: so we have it as 2 * x = 2x

The size of 1 is 3 times 3,4,5 which is 3 * x = 3x

The sum of all these is 360 degrees

Thus, we have it as:

`\begin{gathered} \text{ x + x + x + 2x + 3x = 200} \\ 8x\text{ = 200} \\ x\text{ = }(200)/(8)=\text{ 25} \end{gathered}`

But:

`\text{ sector 1 is 25 }*\text{ 3 = 75}`