Question

a modified roulette wheel has 32 slots. one slot is 0, another is 00, and the others are numbered 1 through 30, respectively. you are placing a bet that the outcome is an odd number. (in roulette, 0 and 00 are neither odd nor even.)

a. what is your probability of winning?
the probability of winning is \\(\frac{15}{32}\\)
(type an integer or a simplified fraction.)

b. what are the actual odds against winning?
the actual odds against winning are 17 : 15

c. when you bet that the outcome is an odd number, the payoff odds are 1:1. how much profit do you make if you bet $13 and win?
if you win, the payoff is

Explanation:

Step1: Understand Payoff Odds

Payoff odds of 1:1 mean for every $1 bet, you win $1 (plus get your bet back). So if you bet $13, the profit is the amount you win from the odds.

Step2: Calculate Profit

With 1:1 odds, profit = bet amount (since you win an amount equal to your bet). So for a $13 bet, profit = $13.

Answer:

$13