Given the probability $p=87/100$ that an event will not happen, how do you find the probability that the event will happen?

Dayanara Terry
2022-07-01
Answered

Given the probability $p=87/100$ that an event will not happen, how do you find the probability that the event will happen?

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The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport.

Small Medium Large

Regular Coffee 14% 20% 26%

Black Coffee 20% 10% 10%

Consider randomly selecting such a coffee purchaser.

a. What is the probability that the individual purchased a small cup?

b. What is the probability that the individual purchased a cup of black coffee?

c. If we learn that the selected individual purchased a small cup, what now is the probability that he/she chose black coffee, and how would you interpret this probability?

d. If we learn that the selected individual purchased black coffee, what now is the probability that a small size was selected?

Small Medium Large

Regular Coffee 14% 20% 26%

Black Coffee 20% 10% 10%

Consider randomly selecting such a coffee purchaser.

a. What is the probability that the individual purchased a small cup?

b. What is the probability that the individual purchased a cup of black coffee?

c. If we learn that the selected individual purchased a small cup, what now is the probability that he/she chose black coffee, and how would you interpret this probability?

d. If we learn that the selected individual purchased black coffee, what now is the probability that a small size was selected?

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A coin with a 0.40 probability for a tail is flipped five times.

A) Find the probability of obtaining exactly four tails

B) Find the probability of obtaining exactly one heads

C) True or False? The probabilities in parts A and B must be equal to each other.

A) Find the probability of obtaining exactly four tails

B) Find the probability of obtaining exactly one heads

C) True or False? The probabilities in parts A and B must be equal to each other.

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