Basic Concepts of Probability
Multiplication Rule of Probability
Combinations and Permutations
Measures of Center
100
A jar contains 17 blue marbles and 9 red marbles. If you blindly select a marble, this is the probability that it will be blue.
What is 17/26 = .654 or 65.4%
100
A brief quiz consists of two true/false question. This is the probability of getting both questions right.
What is 0.25 or 25%
100
This is the number of ways you can arrange four different books on a shelf.
What is 4! = 24
100
This is the mode of the following 12 credit rating scores: 813, 742, 838, 699, 742, 831, 754, 822, 838, 813, 742, and 754
What is 742
200
The 110th Congress of the United States included 84 male senators and 16 female senators. If one of the senators is randomly selected, what is the probability that a woman will be selected?
What is 16/100 = .16 or 16%
200
A brief quiz consists of a true/false question followed by a multiple choice question with four possible answers. This is the probability of getting both questions right.
What is 0.125 or 12.5%
200
You must choose 3 students out of 5 to be on a committee. How many different committees can be formed?
What is 5C3 = 5!/(5-3)!(3!) = 120/(2)(6) = 10.
200
This is the range of the following 5 test scores: 83%, 67%, 94%, 88%, and 73%
What is 27%
300
A Jar contains 13 red marbles, 7 blue marbles, and 11 green marbles. If you blindly select a marble, This is the probability that the marble will be blue or green.
What is 18/31 = .58 or 58%
300
If you flip a coin twice, this is the probability that it won't land on heads once.
What is .25 or 25%
300
If you elect a president and vice president of student council from a group of 9 students, this is the number of possible outcomes.
What is 9P2 = 9!/(9-2)! = 9!/7! = 9 x 8 = 72
300
This is the mean of the following 5 test scores: 83%, 67%, 94%, 88%, and 73%
What is 81%
400
When a couple has two children, this is the probability that they will have one boy and one girl.
What is .5 = 50%
400
If you roll a die three times, this is the approximate probability that you won't role a 5 at least once.
(5/6) x (5/6) x (5/6) = 0.58 or 58% (approximately)
400
This is the number of 6-digit numbers that are possible using the digits 0 through 7 without using the same number more than once.
What is 7P6 = 7!/(7-6)! = 7!/1! = 7! = 5,040
400
This is the median of the following 7 annual salaries of NCAA football coaches: $150,000, $300,000, $350,147, $232,425, $360,000, $1,231,421, $810,000
What is $350,147
500
When a couple has 3 children, this is the probability that they will all be girls.
What is .125 = 12.5%
500
A company manufactured 100 computers, and 8 of them are defective. If 3 of the units are randomly selected without replacement (without putting them back), this is the approximate probability that none of them will be defective.
What is (92/100) x (91/99) x (90/98) = .92 x .919 x .918 = .7766 or approximately .78 or 78%.
500
This is the number of license plates that can be formed from three numbers followed by 2 letters from the alphabet if neither the digits nor the letters are repeated.
What is 10P3 x 26P2 = 10!/(10-3)! x 26!/(26-2)! = 10!/7! = 10!/7! x 26!/22! = 720 x 650 = 468,000
500
This is the median of the following 8 annual salaries of NCAA football coaches: $150,000, $300,000, $350,147, $232,425, $360,000, $1,231,421, $810,000, $229,000
What is ($300,000 + $350,147)/2 = $325,073.50