Zhi and her friends needed to decide where to eat. They narrowed their options to eight restaurants, including Zhi's favorite restaurant, Merlin's. To decide where to go, Zhi flipped a coin three times to get eight possible outcomes, where each outcome corresponded to a particular restaurant.
The odds in favor of Zhi eating at her favorite restaurant was what?
To determine the odds in favor of Zhi eating at her favorite restaurant, we need to count the number of favorable outcomes (where Zhi eats at Merlin's) and the total number of possible outcomes.
Given that Zhi flipped the coin three times, there are 2 possible outcomes for each flip (heads or tails). Since there are 3 coin flips, the total number of possible outcomes is 2^3 = 8.
Now, we need to determine the number of favorable outcomes, i.e., the number of outcomes where Zhi eats at her favorite restaurant, Merlin's. We are given that each outcome corresponds to a particular restaurant, and since Zhi's favorite restaurant is Merlin's, there is only one favorable outcome.
Therefore, the odds in favor of Zhi eating at her favorite restaurant (Merlin's) is 1:8.