Exam 4: Probability and Counting Rules

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An apartment building has the following distribution of apartments: bedroom 1st floor 3 1 1 2nd floor 0 4 2 3rd floor 1 4 1 If an apartment is selected at random, what is the probability that it is not a 2 bedroom api on the 2nd floor?

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A recent poll found that 30% of those surveyed are worried about aggressive drivers on the road. If three people are selected at random, what is the probability that all three will Be worried about aggressive drivers on the road?

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If one card is drawn from an ordinary deck of cards, what is the probability that the card will be an ace, a king of hearts, or a spade?

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A poll was taken of 14,356 working adults aged 40-70 to determine their level of educatic The participants were classified by sex and by level of education. The results were as folls Education Level Male Female Total High School or Less 3396 2340 5736 Bachelor's Degree 3466 4026 7492 Master's Degree 522 478 1000 Ph.D. 72 56 128 Total 7456 6900 14,356 A person is selected at random. Compute the probability that the person has a master's des ee.

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Find the probability of getting a number greater than 4 when a die is rolled one time.

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How many different ways can 5 brands of soda be displayed on a supermarket's shelf, one at a time in a row?

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The following foreign adoptions (in the United States) occurred during these particular ye China 6677 3148 Ethiopia 755 2674 Russia 3983 1366 Choose one adoption at random from this chart. What is the probability that it was from E\mathrm { E } given that it was from 2010 . rs. pia

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A 12-sided die can be made from a geometric solid called a dodecahedron. Assume that a fair dodecahedron is rolled. The sample space is {1,2,3,4,5,6,7,8,9,10,11,12}\{ 1,2,3,4,5,6,7,8,9,10,11,12 \} . Find P(P ( Greater than 4).  A 12-sided die can be made from a geometric solid called a dodecahedron. Assume that a fair dodecahedron is rolled. The sample space is  \{ 1,2,3,4,5,6,7,8,9,10,11,12 \} . Find  P (  Greater than 4).

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So far this season, the university's football team has executed 145 running plays, 149 passing plays, and 24 "trick" plays. What is the probability that the team will execute a Passing play?

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A club has 10 members. There are 720 ways that a chairperson, a secretary, and a treasurer can be selected from these 10 members. Assume a person can hold, at most, one office.

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If a die were rolled, the event of getting an even number would be called a simple event.

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Assume a soldier is selected at random from the Army. Determine whether the events A and B are independent, mutually exclusive, or neither. A: The soldier is a colonel. B: The soldier is a sergeant.

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A 12-sided die can be made from a geometric solid called a dodecahedron. Assume that a fair dodecahedron is rolled. The sample space is {1,2,3,4,5,6,7,8,9,10,11,12}\{ 1,2,3,4,5,6,7,8,9,10,11,12 \} . Find P(4)P ( 4 )  A 12-sided die can be made from a geometric solid called a dodecahedron. Assume that a fair dodecahedron is rolled. The sample space is  \{ 1,2,3,4,5,6,7,8,9,10,11,12 \} . Find  P ( 4 )

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