A spinner game has a wheel with the numbers zero through 19 marked in equally spaced slots. Consider a $1 bet on a number from 1 to 19. If your number hits, you have $19 returned to you; otherwise, you lose your $1 bet. Find the expected return for this bet. (Round your answer to two decimal places.)

Respuesta :

Answer:

The expected return for this bet is $0.05

Step-by-step explanation:

Given that A spinner game has a wheel with the numbers zero through 19 marked in equally spaced slots.

So the Total number of slots in the spinner = 20 [0(1 slot) + 19 = 20 slots]

Now the probability of winning = [tex]\frac{\text{Desired outcome}}{\text{total number of outcomes}}[/tex]

Substituting the values

Probability (winning) =[tex]\frac{1}{20}[/tex]

Winning amount = $19

Expected return for this bet = Winning amount x Probability(winning) - Cost of bet

=>[tex]19 \times \frac{1}{20} - 1[/tex]

=>[tex]19 \times 0.05 - 1[/tex]

=>0.95-1

=> 0.05