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Using Probability Models: Mastery Test

Select the correct answer.

Hillary and her friends are trying to decide whether to go bowling or to a movie. Which method could they use to fairly decide which activity they will do?

A. Flip a coin twice. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie.

B. Flip a coin three times. If the coin lands on heads twice and tails once, they will go to a movie. If it doesn't, they will go bowling.

C. Flip a coin three times. If the coin lands on tails all three times, they will go to a movie. If it doesn't, they will go bowling.

D. Flip a coin twice. If the coin lands on heads both times, they will go bowling. If it doesn't, they will go to a movie.



Answer :

GinnyAnswer

Final answer:

When deciding between activities, flipping a coin is a fair method with equal probabilities. The sample space for flipping two fair coins has distinct outcomes based on head and tail sequences, illustrating independence in events. Coin flips can result in different outcomes, showing shifts from order to disorder and varying levels of entropy.


Explanation:

Probability Models: When deciding between bowling and watching a movie, flipping a coin can be used as a fair method. Each outcome has an equal probability of ½, making it a fair decision-making tool.

Sample Space: When flipping two fair coins, the sample space includes {HH, HT, TH, TT}. Each outcome has its own meaning based on the sequence of heads and tails.

Decision-Making: In reality, despite theoretical probabilities, each coin flip is an independent event, allowing for various outcomes like order to disorder and varying entropy levels.


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