Question

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A fair coin is tossed 7 times. Compute the probability of tossing 7 tails in a row.
1128​  
Enter your response as a reduced fraction.

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Unattempted Question 2

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A CEO of Awesome Coolers owns 4 pairs of pants, 13 shirts, 8 ties and 3 jackets. How many different outfits can he wear to the office if he must wear one of each item?

The CEO has  different outfits.

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Unattempted Question 3

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In a large population, 65 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Give your answer as a decimal (to at least 3 places) or fraction.   

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Unattempted Question 4

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Given the probability of an event is 110110, what are the odds against that event?

:

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Unattempted Question 5

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A student's grades and weights are given below. Calculate the final grade by calculating a weighted average.

Category	Grade Earned	Weight of Grade
In-class Work	91.7%	5%
Homework	51.3%	20%
Quizzes	52.2%	25%
Exams	70.2%	50%

Calculate the student's final grade:  %

Round your answer to one decimal place.

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Unattempted Question 6

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A person must pay $$4 to play a certain game at the casino. Each player has a probability of 0.01 of winning $$16, for a net gain of $$12 (the net gain is the amount won 16 minus the cost of playing 4).

Each player has a probability of 0.99 of losing the game, for a net loss of $$4 (the net loss is simply the cost of playing since nothing else is lost).

What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places.

Expected Value = $

If a person plays this game a very large number of times over the years, do we expect him/her to come out financially ahead or behind?

• behind
• ahead

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Unattempted Question 7

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A 10-sided fair die, a 4-sided fair die, and a 6-sided fair die are rolled. What is the probability of all three happening:

• Showing 3 on the first die
• Showing either 3 or 4 on the second die
• Showing an odd number on the third die

Probability =   
(Enter your answer as a reduced fraction.)

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Unattempted Question 8

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A store gathers some demographic information from their customers. The following chart summarizes the age-related information they collected:

Age	Number of Customers
<20<20	97
20-30	77
30-40	64
40-50	63
50-60	52
≥60≥60	96

One customer is chosen at random for a prize giveaway.

What is the probability that the customer is at least 30 but no older than 50?   

What is the probability that the customer is either older than 60 or younger than 40?   

What is the probability that the customer is at least 60?   

Enter your answers as either decimals or fractions, not as percents.

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Unattempted Question 9

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Frank earned the following grades last quarter. Calculate his GPA rounded to two decimals.

Course	Grade	Credits
Music	3.3	3
History	2.3	4
Computers	1.8	5

GPA:

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Unattempted Question 10

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The table below shows the number of survey subjects who have received and not received a speeding ticket in the last year, and the color of their car.

	Speeding Ticket	No Speeding Ticket	Total
Red Car	15	268	283
Not Red Car	35	450	485
Total	50	718	768

If one person is randomly selected from the group, what is the probability that this person drives a red car or did not get a speeding ticket?

Probability =   

(Enter your answer as a reduced fraction.)

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Unattempted Question 11

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A company has 4 mechanics and 9 electricians. If an employee is selected at random, what is the probability that they are an electrician?

  

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Unattempted Question 12

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Eleven bands are to perform at a weekend festival. How many different ways are there to schedule their appearances?

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Unattempted Question 13

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Based on historical data, an insurance company estimates that a particular customer has a 2.4% likelihood of having an accident in the next year, with the average insurance payout being $2300.

If the company charges this customer an annual premium of $150, what is the company's expected value of this insurance policy?

$  

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Unattempted Question 14

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Evaluate the following.

23C723C7 =

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Unattempted Question 15

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A jury pool consists of 34 people, 16 men and 18 women. Compute the probability that a randomly selected jury of 12 people is all male.

  

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Unattempted Question 16

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A bag of M&M's has 8 red, 5 green, 2 blue, and 4 yellow M&M's. What is the probability of randomly picking:

(give answer as a reduced fraction)

1) a yellow?

  

2) a blue or green?

  

3) an orange?

  

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Unattempted Question 17

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A race consists of 12 women and 11 men. Find the following probabilities for the top three finishers:

P(all men) =   

P(all women) =   

P(2 men and 1 woman) =   

P(1 man and 2 women) =   

Round all answers to four decimal places.

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Unattempted Question 18

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A card is drawn randomly from a standard 52-card deck. Find the probability of the given event.
(a) The card drawn is 5
The probability is :   

(b) The card drawn is a face card (Jack, Queen, or King)
The probability is :   

(c) The card drawn is not a face card.
The probability is :   

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Unattempted Question 19

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Suppose a jar contains 10 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.

  

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Unattempted Question 20

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Michael buys a bag of cookies that contains 5 chocolate chip cookies, 5 peanut butter cookies, 5 sugar cookies and 9 oatmeal cookies. What is the probability that Michael randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Express you answer as a reduced fraction.

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Unattempted Question 21

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Eight sprinters have made it to the Olympic finals in the 100-meter race. Suppose you want to determine how many different ways the gold, silver, and bronze medals can be awarded. Would you use a combination or a permtuation?

• Combination
• Permutation

Answer 1