Question

the spinner has three regions 5 0 and 20to play the game you spin one time and then you win the amount in the region that the spinner lands on. what is the expected valuse of the game

Answer 1

Depends on the spinner is it a fidget spinner

Answer 2

Explanation:

Each region is equally likely.

5 * 1/3 = 5/3 = 1 2/3 = 1.67

0 * 1/3 = 0

20*1/3 = 6 2/3 = 6.67

Total = 8.34

So if this really were a game you should be willing to put up 8.34 to play it.

You can create a simulation. Let the computer play 10000 times (which will take seconds). I'm going to try this for you. and see what happens.

You throw 0 3309 times

You throw 5 3394 times

You throw 20 3290 times

The net result is that you will win 2.71 as you pay, which is what it should be.