Hw 11.1-11.2

If the odds against an event are 1​:9​, then the probability that the event will fail to occur is​ ________.

0.1 0.4

A die is tossed. Find the odds against rolling a number greater than 2.

1:2

A die is tossed. Find the odds against rolling a number greater than 4.

2:1

If the probability that an event will occur is 2/7, then the probability that the event will not occur is 5/7​, and the odds in favor of the event occurring are​ ________.

2:5

You are dealt one card from a standard​ 52-card deck. Find the probability of being dealt the ace of clubs.

The probability of being dealt the ace of clubs is 1/52

One card is selected at random from a deck of cards. Determine the probability that the card selected is a 2.

The probability that the card selected is a 2 is 1/13

What is the probability of getting either an ace or a two when drawing a single card from a deck of 52​ cards?

What is the probability that the card is either an ace or a two​? 2/13

A rack of 15 billiard balls is shown. If one ball is selected at​ random, determine the odds against it containing a number greater than or equal to 2.

the odds are 1:14

The theoretical probability of a coin landing heads up is 1/2. Does this probability mean that if a coin is flipped two​ times, one flip will land heads​ up? If​ not, what does it​ mean?

​No, it means that if a coin was flipped many​ times, about 1/2 of the tosses would lands heads up.

Assume the spinner cannot land on a line. Determine the probability that the spinner lands on ​a) ​red, ​b) ​green, ​c) ​yellow, and ​d) not yellow.

​a) P(red)= 1/2 ​b) ​P(green)= 1/4 c) P(yellow)= 1/4 ​d) ​P(not yellow)= 3/4

The probability the tie goes well with the jacket is The probability the tie will not go well with the jacket is The odds against the tie going well with the jacket is The odds in favor of the tie going well with the jacket is

0.6 0.4 2/3 3/2

For any event​ A, ​P(A)plus+​P(not A)=

1

The sum of the probabilities of all possible outcomes of an experiment is​ _______.

1

1. The probability of an event that cannot occur is 2.The probability of an event that must occur is 3. Every probability must be a number between ______ and _______ inclusive.

1. 0 2. 1 3. 0; 1

According to a disease control​ center, 44​% of people in a certain country have high blood pressure. If a person in this country is selected at​ random, determine the odds in favor of this person having high blood pressure.

11:14

Suppose the probability of selling a car today is 0.32. Find the odds against selling a car today.

17/8

What is the probability of getting either a three or a queen when drawing a single card from a deck of 52​ cards? What is the probability that the card is either a three or a queen​?

2/13

If the odds of a horse winning a horse race are 2:5​, then the odds against that horse winning the race are​ _______.

5:2

According to a disease control​ center, 36​% of people in a certain country have high blood pressure. If a person in this country is selected at​ random, determine the odds in favor of this person having high blood pressure.

9:16

Each individual letter of the word Wisconsin is placed on a piece of​ paper, and all 9 pieces of paper are placed in a hat. If one letter is selected at random from the​ hat, find the probability that a consonant is selected.

P (consonant)= 2/3

The table to the right contains information about a shopping cart full of jars of taco sauce that must be stocked on a shelf. Assume that all jars are the same size and shape. If a stock clerk selects one jar at random to place on the​ shelf, determine the probability he selects a jar of Brand A taco sauce.

P(Brand A taco sauce)= 17/59

The table shows the number of video games sold worldwide for the five​ highest-selling video games in 2010. Assuming this trend continues and that the total sales of all other video games is​ negligible, if a person chooses to purchase one of these video​ games, determine the empirical probability that the person will purchase ​a) Game 2. ​b) Game 5. ​c) Game 1.

P(Game 2) = 1677/6706 P(Game 5) = 127/958 P(Game 1) = 950/3353

If one person selects a vehicle at random from the​ dealership, and each choice is equally​ likely, determine the probability that the vehicle the person selects is a car.

P(a car)= 7/17

Several friends chartered a boat for a​ day's fishing. They caught a total of 50 fish. The table below provides information about the type and number of fish caught. Determine the empirical probability that the next fish caught is a kingfish.

P(kingfish)= 6/25

If one person selects a vehicle at random from the​ dealership, and each choice is equally​ likely, determine the probability that the vehicle the person selects is a vehicle manufactured by Company B.

P(manufactured by Company B)= 8/19

One card is selected at random from a deck of cards. Determine the probability that the card selected is not a 9.

P(not a 9)= 12/13

Five million tickets are sold for a lottery. ​a) If you purchase a​ ticket, find your odds against winning. ​b) If you purchase 2020 ​tickets, find your odds against winning

a) If you purchase a​ ticket, find your odds against winning. 4999999:1 ​b) If you purchase 40 tickets, find your odds against winning. 124999:1

​(a) If a student guesses at the​ answer, what is the probability that he or she selects the correct answer for one particular​ question? ​ (​b)If the student first eliminates one of the seven possible answers and guesses from the remaining​ possibilities, what is the probability that he or she selects the correct answer to that​ question?

a. 1/7 b. 1/6

The odds against Ishaq getting hired for a job are 13​:14. Determine the probability ​(a) Ishaq gets hired. ​(b) Ishaq does not get hired.

a. The probability Ishaq gets hired is 14/27 b. The probability Ishaq does not get hired is 13/27

The odds in favor of Frank McKinnis winning a hot dog eating contest are 4 ​: 9. a. Determine the probability that Frank will win the contest. b. Determine the probability that Frank will not win the contest.

a. The probability that Frank will win the contest is 4/13 b. The probability that Frank will not win the contest is 9/13

The ratio of the probability that an event will fail to occur to the probability that the event will occur is called the odds​ _______ an event.

against

Probability determined by the relative frequency of occurrence of an​ event, or actual observations of an experiment is called​ _______ probability.

empirical

If each outcome of an experiment has the same chance of occurring as any other​ outcome, the outcomes are​ _______ likely outcomes.

equally

A subcollection of the outcomes of an experiment is called​ a(n) _______.

event

Fill in the blank with an appropriate​ word, phrase, or​ symbol(s). A controlled operation that yields a set of results is called​ a(n) _______.

experiment

The ratio of the probability that the event will occur to the probability that the event will fail to occur is called the odds ____ an event.

in favor of

The possible results of an experiment are called its

outcomes

Probability determined through a study of the possible outcomes that can occur for a given experiment is called __________ probability.

theoretical

Of the last 60 people who went to the cash register at a department​ store, 13 had blond​ hair, 18 had black​ hair, 25 had brown​ hair, and 4 had red hair. Determine the empirical probability that the next person to come to the cash register has brown hair.

​P(brown​)= 5/12

An experimental serum was injected into 500 guinea pigs.​ Initially, 100 of the guinea pigs had circular​ cells, 200 had elliptical​ cells, and 200 had irregular cells. After the serum was​ injected, none of the guinea pigs with circular cells were​ affected, 50 with elliptical cells were​ affected, and all of those with irregular cells were affected. Determine the empirical probability that a guinea pig with​ (a) circular​ cells, (b) elliptical​ cells, and​ (c) irregular cells will be affected by injection of serum.

​a) The empirical probability that a guinea pig with circular cells will be affected by injection of the serum is 0 ​b)The empirical probability that a guinea pig with elliptical cells will be affected by injection of the serum is 1/4 ​c) The empirical probability that a guinea pig with irregular cells will be affected by injection of the serum is 1

The results of a medical test show that of 28 people selected at random who were given the​ test, 22 tested negative and 6 tested positive. Determine the odds against a person selected at random from these 28 people testing negative on the test.

The odds against a person selected at random from these 28 people testing negative on the test are 3:11

The results of a medical test show that of 36 people selected at random who were given the​ test, 33 tested negative and 33 tested positive. Determine the odds against a person selected at random from these 36 people testing negative on the test.

The odds against a person selected at random from these 36 people testing negative on the test are 1:11

A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a heart.

The odds against selecting a heart are 3:1 The odds in favor of selecting a heart are 1:3

A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a jack.

The odds against selecting a jack are 12:1 The odds in favor of selecting a jack are 1:12

A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a red face card (king, queen, or jack).

The odds against selecting a red face card are 23:3 The odds in favor of selecting a red face card are 3:23

A monk crossbred​ plants, which can have purple or white​ flowers, and obtained 683 plants with white flowers and 292 plants with purple flowers.

The probability a plant had white flowers is 0.70 The probability a plant had purple flowers is 0.30

A monk crossbred​ plants, which can have purple or white​ flowers, and obtained 635 plants with white flowers and 215 plants with purple flowers. Find the empirical probability that a plant had each type of flower.

The probability a plant had white flowers is 0.75 The probability a plant had purple flowers is 0.25

Suppose the circle graph shows the percent of people in a certain region with the various types of blood. If one person in the region is selected at​ random, use the graph to determine the probability that the person has B− blood.

The probability is 1/50

You are dealt one card from a standard​ 52-card deck. Find the probability of being dealt a club.

The probability of being dealt a club is 1/4

You are dealt one card from a standard​ 52-card deck. Find the probability of being dealt a spade and a heart.

The probability of being dealt a spade and a heart is 0

A cooler at a picnic contains 100 cans of soda covered by ice. There are 33 cans of​ cola, 37 cans of orange​ soda, 18 cans of ginger​ ale, and 12 cans of root beer. The cans are all the same size and shape. If one can is selected at random from the​ cooler, determine the probability that the soda selected is orange soda.

The probability that the can selected is a orange soda can is 0.37

A cooler at a picnic contains 100 cans of soda covered by ice. There are 29 cans of​ cola, 26 cans of orange​ soda, 30 cans of ginger​ ale, and 15 cans of root beer. The cans are all the same size and shape. If one can is selected at random from the​ cooler, determine the probability that the soda selected is orange soda.

The probability that the can selected is a root beer​, ginger ale,or cola is 0.74 (37/50)

When playing​ bingo, 75balls are placed in a bin and balls are selected at random. Each ball is marked with a letter and number as indicated in the chart below. For​ example, there are balls marked​ B1, B2, up to B15​;I16​,I17​, up to I30​; and so on. Assume one bingo ball is selected at random.

What are the odds against it being Upper B 11​? 74:1

One person is selected at random from a class of 17 males and 15 females. Find the odds against selecting ​a) a female. ​b) a male.

What are the odds against selecting a​ female? 17:15 What are the odds against selecting a​ male? 15:17

If the odds in favor of Chris winning the election are 6​:5​, then what is the probability that ​a) Chris wins. ​b) Chris does not win.

What is the probability that Chris will win the​ election? 6/11 What is the probability that Chris will not win the​ election? 5/11