AnswersCollege Prep Math B - IC26Binomial Probability

Binomial Probability Answers

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In taking a multiple-choice test, there are four possible answers for each problem, only one of which is correct. Assume that someone guesses randomly on all 25 problems.What is the probability of getting the first problem wrong?

A
25
B
0.25
C
0.75
D
75
2
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Assume the birth of a boy or a girl is equally likely. The probability that a single child is born a girl is . What is the probability that the next child born to the same familiy will also be a girl? a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
3

In taking a multiple-choice test, there are four possible answers for each problem, only one of which is correct. Assume that someone guesses randomly on all 25 problems.What is the probability of getting the first problem correct?

A
20
B
0.25
C
0.20
D
25
4

Two events are independent when the following is true:

A
the outcome of one event determines the outcome of the other event
B
there is no correlation between the two events
C
the outcome of one event does NOT determine the outcome of the other event
D
The outcome of the event is determined by the theoretical probability of the event
5

According to the 2000 U.S. Census Bureau, 49.65% of Texas residents were male. If one Texan was selected at random in 2000, what is the probability he was male?

A
0.4965
B
0.5
C
0.5035
D
49
6

According to the 2000 U.S. Census Bureau, 49.65% of Texas residents were male. If one Texan was selected at random in 2000, what is the probability she was female?

A
0.4965
B
0.5
C
0.5035
D
49
7

A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer. Explain why this is an independent or a dependent event.

A
Independent - the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second event
B
Dependent - the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second event
C
Independent - the sample space changes from the first event to the second event
D
Dependent - the sample space changes from the first event to the second event
8

Suppose the probability of your hitting the bull’s-eye on a dartboard is 0.06. What is the probability of getting exactly two bull’s-eyes when you throw five darts?

A
0.0299
B
0.036
C
10
D
0.0318
9

What is the probability that when a fair coin is flipped 25 times, there will be exactly five heads?

A
0.00158
B
53130
C
1660.3
D
0.1900
10

In the following experiment, determine whether or not the probabilities are binomial probabilities. If they are, identify the values for n, p, and q.A die is rolled 30 times. What is the probability of getting x even numbers?

A
Binomial probability; n = 0.5, p = 0.5, q = 30
B
Binomial probability; n = 30, p = 0.5, q = 0.5
C
Binomial probability; n = 0.5, p = 30 , q = 0.5
D
Not a binomial probability
11

A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer. Explain why this is an independent or a dependent event.

A
Independent - the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second event
B
Dependent - the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second event
C
Independent - the sample space changes from the first event to the second event
D
Dependent - the sample space changes from the first event to the second event
12

Suppose that the probability a seed will germinate is 80%. What is the probability that 7 of these seeds will germinate when 10 are planted?

A
1.0068
B
25.17
C
120
D
0.201
13

Which of the following is not a binomial experiment?

A
Asking 100 people whether or not the like pizza.
B
Measuring the height of 100 people to see if they are over 6’1.
C
Asking 100 people what their favorite color is.
D
Asking 100 people if their favorite color is red.
14

Suppose that the probability a seed will germinate is 85%. What is the probability that 7 of these seeds will germinate when 10 are planted?

A
0.1298
B
0.385
C
0.12
D
0.141
15

What is the probability that when a fair coin is flipped 25 times, there will be exactly five heads?

A
0.00158
B
53130
C
1660.3
D
0.1900
16

In a randomly generated sequence of 24 binary digits (0s and 1s), what is the probability that exactly half of the digits are 0?

A
1352078
B
1.295
C
0
D
0.1612
17

What is the theoretical probability of the event that a family with two children has one boy and one girl? Make a tree diagram to help solve the problem. a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
18

In the following experiment, determine whether or not the probabilities are binomial probabilities. If they are, identify the values for n, p, and q.A die is rolled 30 times. What is the probability of getting x even numbers?

A
Binomial probability; n = 0.5, p = 0.5, q = 30
B
Binomial probability; n = 30, p = 0.5, q = 0.5
C
Binomial probability; n = 0.5, p = 30 , q = 0.5
D
Not a binomial probability

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