7. Consider a set of desserts at a restaurant: [cheesecake, chocolate cake,pumpk

Question

7. Consider a set of desserts at a restaurant: [cheesecake, chocolate cake,pumpkin pie, blueberry pie, cherry pie) If you are allowed to choose a set of two desserts only, how many different sets of desserts are possible? The friend sitting next to you wants to try some of the dessert that you select and they are hoping to try the cheesecake, chocolate cake, and cherry pie. If the friend will be happy if they are able to try at least two of them, what is the probability that your friend will be happy? (Assume that the choices that you make are not influenced by their interests, meaning the events are independent) a. b.

Explanation / Answer

a) Two desserts can be chosen in:

5C2 ways = 10 sets

b) So, total ways = 10

Now friend will be happy if they get atleast two of the desserts in 3C2 ways = 3 ways

P = 3/10 = 0.3

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