alrly straightforward. However, sometimes they can be less obvious, and it\'s co

Question

alrly straightforward. However, sometimes they can be less obvious, and it's counting outcomes which are actually equally likely. The next few questions e important to ensure that you are xplore this idea 3. There are 4 dormitories at your school that you could be assigned to. The three older dormitories each house the same number of students. The newest dorm houses twice the number of students as one of the older dorms. What is the probability that you will be assigned to the newest dormitory, given that dorm assignments are given at random and all spots are filled? 2 You are at a charity event, and you have just purchased 1 ticket for a raffle. Prior to the raffle, you are told that there are 200 people at the event (including yourself), and about of the people at the event purchased tickets to the raffle. Of those people, you approximate that people were equally likely to purchase 1, 2, or 3 tickets. Based on these estimations, what is the probability that you win the raffle? 5. In WWII, enemies would engage in plane-to-plane aerial combat. Unsurprisingly, many s kent track of t C' if a hullfet strikes a plane in a sensitive area, it's very hard

Explanation / Answer

3) Let the number of students in a dormitory be x

Total number of seats available = 3x + 2x = 5x

Number of seats in new dormitory = 2x

P(new dormitory) = 2x/5x = 2/5

4) Total number of people who purchased ticket = 200x3/4 = 150

number of people who purchased one ticket = 150x1/3 = 50

Number of people who purchased 2 tickets = 150x1/3 = 50

Number of people who purchased 3 tickets = 150x1/3 = 50

P(winning raffle) = 1/ total number of tickets

= 1/(50x1 + 50x2 + 50x3)

= 1/300

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