Question

Rita is at the grand opening celebration of a supermarket. She spins a wheel with 10 equal-sized slices, as shown below. The wheel has 3 black slices, 3 grey

Slices, and 4 white slices. When the wheel is spun, the arrow stops on a slice at random. If the arrow stops on the border of two slices, the wheel is spun again
(a) if the arrow stops on a black slice, then Rita wins a gift card, find the odds in favor of Rita winning a gift card
(b) If the arrow stops on a black slice, then Rita wins a gift card. Find the
odds against a winning a gift card"

Answer 1

The odds in favor of Rita winning a gift card are 3:10, while the odds against her winning a gift card are 7:10.

Step-by-step explanation:

(a) In this scenario, we need to find the odds in favor of Rita winning a gift card. The total number of slices on the wheel is 10. Out of these, there are 3 black slices, which represent the favorable outcomes. So, the odds in favor of Rita winning a gift card can be calculated as:

Odds in favor = Number of favorable outcomes / Number of total outcomes

Odds in favor = 3 / 10 = 3:10

(b) In this scenario, we need to find the odds against Rita winning a gift card. The number of unfavorable outcomes is equal to the total number of outcomes minus the number of favorable outcomes. So, the odds against Rita winning a gift card can be calculated as:

Odds against = Number of unfavorable outcomes / Number of total outcomes

Odds against = 7 / 10 = 7:10