Question

carnival game
you spin a spinner that has four sections, each a different color: green, yellow, red, and blue. if you land on green, you win 4 points. if you land on yellow, red, or blue, you lose 1 point. write the expected value.
the expected value of the number of points won on a spin is - 0.25 points
complete
suppose you spin the carnival spinner 1,000 times. how many points would you expect to win or lose?
lose 500 points
lose 250 points
win 250 points
win 500 points
done

Explanation:

Step1: Recall expected - value formula

The expected value per spin is $E=- 0.25$ points.

Step2: Calculate total expected points

If we spin $n = 1000$ times, we use the formula $Total\ expected\ points=E\times n$.
Substitute $E=-0.25$ and $n = 1000$ into the formula: $Total\ expected\ points=-0.25\times1000=-250$ points. A negative value means we expect to lose points.

Answer:

lose 250 points