5. A group of 7 friends is hoping to meet for an after work beverage. They would like to visit one of the local breweries or cideries we have in Victoria, so they decide to first figure out if they want beer or cider. To do this each of the friends will state their preference (beer or cider) and majority will win. Suppose each of the fries is equally likely to select beer or cider as their preference. (a) What is the probability that exactly 5 of the friends select cider as their preference? (b) If Kseniya and Tanya are among the 7 friends and you know they will definitely pick cider, what is the probability that the majority of the group selects beer as their preference?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5.
A group of 7 friends is hoping to meet for an after work beverage. They would like to
visit one of the local breweries or cideries we have in Victoria, so they decide to first figure out if
they want beer or cider. To do this each of the
and majority will win. Suppose each of the fries is equally likely to select beer or cider as their
preference.
friends will state their preference (beer or cider)
(a) What is the probability that exactly 5 of the friends select cider as their preference?
(b) If Kseniya and Tanya are among the 7 friends and you know they will definitely pick cider, what
is the probability that the majority of the group selects beer as their preference?
Transcribed Image Text:5. A group of 7 friends is hoping to meet for an after work beverage. They would like to visit one of the local breweries or cideries we have in Victoria, so they decide to first figure out if they want beer or cider. To do this each of the and majority will win. Suppose each of the fries is equally likely to select beer or cider as their preference. friends will state their preference (beer or cider) (a) What is the probability that exactly 5 of the friends select cider as their preference? (b) If Kseniya and Tanya are among the 7 friends and you know they will definitely pick cider, what is the probability that the majority of the group selects beer as their preference?
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