Question 18 Find the indicated probability. A card is drawn from a well-shuffled

Question

Question 18

Find the indicated probability.

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

10

Question 23

Find the indicated probability.

Of the 54 people who answered "yes" to a question, 12 were male. Of the 46 people that answered "no" to the question, 12 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?

0.78

0.66

0.24

0.222

Question 24

0.410; The probability of this error is high so the test is not very accurate.

0.0971; The probability of this error is high so the test is not very accurate.

0.146; The probability of this error is high so the test is not very accurate.

0.0216; The probability of this error is low so the test is fairly accurate.

Question 25

0.685

0.537

0.148

0.741

Question 26

0.585

0.506

0.545

0.472

Question 27

0.008908

0.0001487

0.009007

0.001834

Question 28

0.2643

0.2640

0.1917

0.000005213

Question 29

Find the indicated probability.

You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a King and the second card is a queen. Express your answer as a simplified fraction.

Question 30

From the information provided, create the sample space of possible outcomes.

Flip a coin twice.

HT TH

HH HT TH TT

HH TT HT HT

HH HT TT

Question 31

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

Independent

Question 32

Is Event B dependent or independent of Event A?

A: You cook your chicken improperly.
B: You get salmonella poisoning.

Independent

Dependent

Question 33

None of the above is correct.

Question 34

10

Question 23

Find the indicated probability.

Of the 54 people who answered "yes" to a question, 12 were male. Of the 46 people that answered "no" to the question, 12 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?

0.78

0.66

0.24

0.222

Question 24

Find the indicated probability.

Refer to the table which summarizes the results of testing for a certain disease.

If one of the results is randomly selected, what is the probability that it is a false positive (test indicates the person has the disease when in fact they don't)? What does this probability suggest about the accuracy of the test?

0.410; The probability of this error is high so the test is not very accurate.

0.0971; The probability of this error is high so the test is not very accurate.

0.146; The probability of this error is high so the test is not very accurate.

0.0216; The probability of this error is low so the test is fairly accurate.

Question 25

Find the indicated probability.

The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency table below summarizes the results.



If we randomly select one of the customers represented in the table, what is the probability that the waiting time is at least 12 minutes or between 8 and 15 minutes?

0.685

0.537

0.148

0.741

Question 26

Find the indicated probability.

The table below describes the smoking habits of a group of asthma sufferers.

If one of the 1064 people is randomly selected, find the probability that the person is a man or a heavy smoker.

0.585

0.506

0.545

0.472

Question 27

Find the indicated probability.

The table below describes the smoking habits of a group of asthma sufferers.


If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers. Round to six decimal places.

0.008908

0.0001487

0.009007

0.001834

Question 28

Find the indicated probability.

The table below describes the smoking habits of a group of asthma sufferers.


If two different people are randomly selected from the 852 subjects, find the probability that they are both women. Round to four decimal places.

0.2643

0.2640

0.1917

0.000005213

Question 29

Find the indicated probability.

You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a King and the second card is a queen. Express your answer as a simplified fraction.

Question 30

From the information provided, create the sample space of possible outcomes.

Flip a coin twice.

HT TH

HH HT TH TT

HH TT HT HT

HH HT TT

Question 31

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

Independent

Question 32

Is Event B dependent or independent of Event A?

A: You cook your chicken improperly.
B: You get salmonella poisoning.

Independent

Dependent

Question 33

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.

The table below shows the soft drinks preferences of people in three age groups.


find the probability that the person is over 40 and drinks cola.

None of the above is correct.

Question 34

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.

The table below shows the soft drinks preferences of people in three age groups.


find the probability that the person is over 40 years of age, given that he drink cola.

Explanation / Answer

Question 18)

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

Answer:

There are two possible events that could happen.Either you draw an ace or a 9.

There are four aces in a deck of 52 cards as well as 4 of 9's in the same deck.

The conjunction "or" implies adding up the probabilities of the individual events . Thus,

p(ace or 9) = 4/52 + 4/52 = 2/13

p(ace or 9) =  2/13

Question 23)

54 people who answered "yes" and  46 people that answered "no" .

So total number of people answering the question was 54 + 46 = 100.

54 of 100 answer "yes", so

p(Y) = 54 / 100.

12 were answer "yes" and 12 were answerd "no" , so there are 12 + 12 males or 24 males in group.

So p(M) = 24 / 100

Of the 54 people who answered "yes" to a question, 12 were male.

These 12 were the only group members of the 100 who answered "yes" AND were male , so

P(Y AND M) = 12/100

We use formula

P(Y OR M ) = P(Y) + P(M) - P(Y AND M)

= 54/100 + 24/100 - 12/100

= 66/100

= 0.66

So the probability that the person answered "yes" or was male = 0.66.

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