STAT Q4
Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a club, the second card will be a red card, and the third card will be an ace? Express your answer as a fraction or a decimal number rounded to four decimal places.
0.0096
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 18 Pennies 13 Dimes 18 Nickels 13 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel? Express your answer as a fraction or a decimal number rounded to four decimal places.
0.0809
What is the probability that a randomly selected person will have a birthday in April? Assume that this person was not born in a leap year. Express your answer as a simplified fraction or a decimal rounded to four decimal places.
0.0821
What is the probability of rolling a sum of 5 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
0.111
A coin is tossed 99 times. What is the probability of getting at least one head? Express your answer as a fraction or a decimal number rounded to four decimal places.
0.9980
Evaluate the following expression. Express your answer as a fraction or a decimal number rounded to four decimal places. 9C13/6P13
1/1728 or 0.0006
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a jack and then, without replacement, another jack? Express your answer as a fraction or a decimal number rounded to four decimal places.
1/221
You are going to play mini golf. A ball machine that contains 24 green golf balls, 22 red golf balls, 20 blue golf balls, and 24 yellow golf balls, randomly gives you your ball. What is the probability that you end up with a red golf ball? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
11/45
A doctor visits her patients during morning rounds. In how many ways can the doctor visit 55 patients during the morning rounds?
120
How many ways can Patricia choose 33 pizza toppings from a menu of 1010 toppings if each topping can only be chosen once?
120
22 cards are drawn from a standard deck of 5252 playing cards. How many different 22-card hands are possible if the drawing is done without replacement?
1326
The supreme choice pizza at Paolo's Pizzeria contains 3 different meats and 2 different vegetables. The customer can select any one of 5 types of crust. If there are 6 meats and 6 vegetables to choose from, how many different supreme choice pizzas can be made?
1500
In how many ways can the letters in the word 'Proportion' be arranged?
151,200
A standard six-sided die is rolled. What is the probability of rolling a number greater than or equal to 3? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
2/3
You are using a local home remodeling company to remodel your kitchen. They have 20 different cabinet door styles, 9 countertop choices, and 12 different types of flooring. How many different kitchen remodels could be done using these material choices?
2160
There are 330 identical plastic chips numbered 1 through 330 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 222? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
221/330 or 0.6697
You need to have a password with 66 letters followed by 22 odd digits between 00 and 99, inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password?
3315312000
Raul wants to buy a new collar for each of his 4 dogs. The collars come in a choice of 6 different colors. Step 2 of 2: How many selections of collars are possible if repetitions of colors are not allowed?
360
How many different teams of 4 can be chosen from a group of 14 adults and 20 children if each team must have at least two children on it?
38,095
Customer account "numbers" for a certain company consist of 2 letters followed by 3 numbers. Step 2 of 2: How many different account numbers are possible if repetitions of letters and digits are not allowed?
468000
You are getting a line-up ready for a school kickball game. You have 7 girls and 7 boys. The rules state each child must kick the same number of times and alternate girl-boy or boy-girl. How many ways can a line-up be made for one round of kicking?
50803200
Customer account "numbers" for a certain company consist of 2 letters followed by 3 numbers. Step 1 of 2: How many different account numbers are possible if repetitions of letters and digits are allowed?
676000
A box contains 14 large marbles and 10 small marbles. Each marble is either green or white. 99 of the large marbles are green, and 33 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is large or green? Express your answer as a fraction or a decimal number rounded to four decimal places.
7/8 or 0.8750
A person tosses a coin 22 times. In how many ways can he get 16 heads?
74613
Victor is picking out some movies to rent, and he has narrowed down his selections to 5 children's movies, 5 mysteries, 5 documentaries, and 3 foreign films. How many different combinations of 7 movies can he rent if he wants all 5 mysteries?
78
A coordinator will select 4 songs from a list of 11 songs to compose an event's musical entertainment lineup. How many different lineups are possible?
7920
Determine if the following events are independent. Studying for a math exam. Making an A on your math exam.
Dependent
Determine if the following events are independent. Robert checks out a book from the library. Kathy watches the evening news.
Independent
Determine whether the following events are mutually exclusive. Choosing a red card or a club out of a standard deck of cards.
Mutually exclusive
Determine whether the following value could be a probability. −0.46
No
Determine whether the following events are mutually exclusive. Choosing a two or a black card out of a standard deck of cards.
Not Mutually Exclusive
Describe the complement of the given event. 71% of subscribers to a fitness magazine are over the age of 21.
The 29% of subscribers who are not over the age of 21.
Determine whether the following value could be a probability. 9/53
Yes
A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 20112011 class attendees. The data is summarized in the table below. What is the probability that a class attendee is a member of the gym and is attending a spinning class or is a non-member of the gym and is attending a yoga class? Enter a fraction or round your answer to 44 decimal places, if necessary.
0.1621
You decide to record the hair colors of people leaving a lecture at your school. What is the probability that the next person who leaves the lecture will have red hair? Express your answer as a simplified fraction or a decimal rounded to four decimal places. Blonde: 38, Red: 44, Brown: 41, Black: 34, Gray: 44,
0.2189
Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for orange, Y for yellow, W for white, E for ebony, C for cherry, and U for unfinished. While renovating your house, you have a choice of paint colors for your game room: orange, yellow, or white. You also have the following options for the finish on your entertainment center: ebony, cherry, or unfinished.
{ OE, OC, OU, YE, YC, YU, WE, WC, WU }
Mrs. Burke's chemistry class has 115 students, classified by academic year and major, as illustrated in the table. Mrs. Burke randomly chooses one student to collect yesterday's work. Step 2 of 2: What is the probability that she selects a junior, given that she chooses a chemistry major? Enter a fraction or round your answer to 4 decimal places, if necessary.
0.2295
The newly elected president needs to decide the remaining 5 spots available in the cabinet he/she is appointing. If there are 11 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
55440
How many ways can a person toss a coin 14 times so that the number of tails is between 7 and 12 inclusive?
9893
A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2257 class attendees. The data is summarized in the table below. What is the probability that a class attendee is a member of the gym and is attending a boot camp class? Enter a fraction or round your answer to 44 decimal places, if necessary.
0.1117
Out of 451451 applicants for a job, 277277 have over 55 years of experience and 6464 have over 55 years of experience and have a graduate degree. Step 2 of 2: Consider that 147147 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 55 years of experience, given that the applicant has a graduate degree? Enter a fraction or round your answer to 44 decimal places, if necessary.
0.4354
A box contains 21 red marbles, 20 white marbles, and 17 blue marbles. If a marble is randomly selected from the box, what is the probability that it is not red? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
0.6379
Raul wants to buy a new collar for each of his 4 dogs. The collars come in a choice of 6 different colors. Step 1 of 2: How many selections of collars for the 4 dogs are possible if repetitions of colors are allowed?
1296
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a diamond for the second card drawn, if the first card, drawn without replacement, was a club? Express your answer as a fraction or a decimal number rounded to four decimal places.
13/51
Find the number of outcomes in the complement of the given event. Out of 217 tomato plants in a field, 162 are ready for picking.
55
Mrs. Burke's chemistry class has 115 students, classified by academic year and major, as illustrated in the table. Mrs. Burke randomly chooses one student to collect yesterday's work. Step 1 of 2: What is the probability that she selects a chemistry major, given that she chooses randomly from only the juniors? Enter a fraction or round your answer to 4 decimal places, if necessary.
14/27
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 5 types of drinks to choose from, 4 types of sandwiches, and 4 types of chips. How many different value meal packages are possible?
80
A box contains 19 green marbles and 20 white marbles. If the first marble chosen was a white marble, what is the probability of choosing, without replacement, a green marble? Express your answer as a fraction or a decimal number rounded to four decimal places.
0.5
Out of 451451 applicants for a job, 277277 have over 55 years of experience and 6464 have over 55 years of experience and have a graduate degree. Step 1 of 2: What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 55 years of experience? Enter a fraction or round your answer to 44 decimal places, if necessary.
0.2310
An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. What is the probability you will roll a red on your next toss of the die? Express your answer as a simplified fraction or a decimal rounded to four decimal places. purple: 27, red: 39, pink: 31, orange: 30,
0.3071
There are 10 people in an office with 5 different phone lines. If all the lines begin to ring at once, how many groups of 5 people can answer these lines?
252
