Math 4.2 Quiz Questions

Among the contestants in the competition are 46 women and 23 men. If 5 winners are randomly selected, what is the probability that they are all men? Round to five decimal places. probability

0.00299

A study conducted at a certain college shows that 64% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 12 randomly selected graduates all find jobs in their chosen field within a year of graduating. Round to the nearest thousandth if necessary.

0.005

A sample of 4 different calculators is randomly selected from a group containing 49 that are defective and 25 that have no defects. What is the probability that all four of the calculators selected are defective? Round to four decimal places.

0.1841

The table below describes the smoking habits of a group of asthma sufferers. Nonsmoker+Men= 417 Nonsmoker+Women= 341 Nonsmoker Total= 758 Occasional smoker+Men= 44 Occasional smoker+Women=43 Occasional Smoker total= 87 Regular Smoker+Men= 64 Regular Smoker+Women= 86 Regular Smoker Total=150 Heavy Smoker+Men= 47 Heavy Smoker+Women=38 Heavy Smoker Total=85 Total Men=572 total women=508 total smokers=1080 If one of the 1080 people is randomly selected, find the probability of getting a regular or heavy smoker.

0.218

In one town, 48% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.

0.230

In one town, 79% of adults have health insurance. What is the probability that 6 adults selected at random from the town all have health insurance? Round to the nearest thousandth if necessary.

0.243

The table below describes the smoking habits of a group of asthma sufferers: Nonsmoker+Men= 311 Nonsmoker+Women= 398 Nonsmoker Total= 709 Light Smoker+Men= 48 Light Smoker+Women= 33 Light Smoker Total=81 Heavy Smoker+Men= 45 Heavy Smoker+Women=39 Heavy Smoker Total=84 Total Men=404 total women=470 total smokers=874 If two different people are randomly selected from the 874 subjects, find the probability that they are both women. Round to four decimal places

0.2889

Of the 43 people who answered "yes" to a question, 5 were male. Of the 61 people that answered "no" to the question, 11 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?

0.519

Indicated Probability: The table below describes the smoking habits of a group of asthma sufferers Nonsmoker+Men= 369, Nonsmoker+Women= 406 Nonsmoker Total= 775 Occasional smoker+Men= 46 Occasional smoker+Women=47 Occasional Smoker total= 93 Regular Smoker+Men= 69 Regular Smoker+Women= 80 Regular Smoker Total=149 Heavy Smoker+Men= 47 Heavy Smoker+Women=47 Heavy Smoker Total=94 Total Men=531 total women=580 total smokers=1111 If one of the 1111 people is randomly selected, find the probability that the person is a man or a heavy smoker.

0.520

An IRS auditor randomly selects 3 tax returns from 50 returns of which 9 contains errors. What is the probability that she selects none of those containing errors? Round to four decimal places.

0.5439

In a batch of 8,000 clock radios, 8% are defective. A sample of 10 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?

0.566

A bin contains 79 light bulbs of which 11 are defective. If 3 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary.

0.638

The table below describes the smoking habits of a group of asthma sufferers Nonsmoker+Men= 361 Nonsmoker+Women= 352 Nonsmoker Total= 713 Light Smoker+Men= 76 Light Smoker+Women= 69 Light Smoker Total=145 Heavy Smoker+Men= 70 Heavy Smoker+Women=76 Heavy Smoker Total=146 Total Men=507 total women=497 total smokers=1004 If one of the 1004 subjects is randomly selected, fin the probability that the person chosen is a nonsmoker given that it is a woman. Round to the nearest thousandth

0.708

A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made

0.7744

An unprepared student makes random guesses for the true and false questions on a quiz. Find the probability that there is at least one correct answer

0.999

Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 4 possible answers

1/64

Indicated probability: If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?

11/26

A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing an ace or a 9)

2/13

You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black. Express your answer as a simplified fraction.

25/102

Express Answer as a simplified fraction unless otherwise noted: The table below shows the soft drinks preferences of people in three age groups. under 21 years of age+ cola=40 under 21 years of age+root beer= 25 under 21 years of age+lemon-lime=20 between 21 and 40+cola= 35 between 21 and 40+root beer= 20 between 21 and 40+lemon lime= 30 over 40 years of age+cola= 20 over 40 years of age+root beer= 30 over 40 years of age+lemon-lime= 35 If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and drinks cola

4/51

Write as a fraction: The following table contains data from a study of two airlines which fly to Small Town, USA Podunk Airlines+Number of flights which were on time= 33 Podunk Airlines+Number of flights which were late= 6 Upstate airlines+number of flights which were on time 43 Upstate airlines+number of flights which were late= 5 If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that is was an Upstate Airlines flight

43/48

Show answer as fraction: The table below shows the soft drinks preferences of people in three age groups. under 21 years of age+ cola=40 under 21 years of age+root beer= 25 under 21 years of age+lemon-lime=20 between 21 and 40+cola= 35 between 21 and 40+root beer= 20 between 21 and 40+lemon lime= 30 over 40 years of age+cola= 20 over 40 years of age+root beer= 30 over 40 years of age+lemon-lime= 35 if one of the 255 subjects is randomly selected, find the probability that the person drinks root beet given that they are over 40

6/17

A bag contains 6 red marbles, 4 marbles, and 1 green marble. Find P (not blue)

7/11

Is event B dependent or independent of event A: A: A green ball is drawn from a box with five balls and placed next to the box. B. A red ball is drawn next and placed next to the green one.

Dependent

Give the definition: Compound Event

an event that combines two or more simple events

Written description of the complement of the given event: Of ten adults, at least one of them has high blood pressure

non of the adults have high blood pressure

Give the definition: Conditional Probability

the probability that event B occurs after event A has already occurred (or is guaranteed to occur)

Give the definition: Dependent event

two event, A and B, are dependent if the fact that A occurs does affect the probability of B occurring

Give the definition: Mutually Exclusive

two events that have no outcomes in common and cannot occur at the same time

Give the definition: Independent event

two events, A and B are independent if the fact that A occurs does not affect the probability of B occurring

Give the definition: Addition Rule

where p(A and b)= probability that A and B both occur at the same time as an outcome in trial