Simple Probability
You choose a month. What is the probability that month begins with J?
3/12 or 1/4
A bag of marbles has 7 blue and 8 red. You draw a blue marble without replacement. What is the probability that your next marble is red?
8/14 or 4/7
A random sample of 250 working adults found that 37% access the Internet at work, 44% access the internet at home, and 21% access the internet at work and home. Are these events mutually exclusive?
Nope.
7 students run a race. How many possible ways can they be arranged at the finish line?
7! or 5040
During election season you see a lot of polls running to predict who is going to win. Is this an example of theoretical, experimental, or subjective probability?
Experimental. This data comes from polling.
Theoretical.
A bag of marbles has 8 blue and 7 red. What is the probability of drawing two red marbles in a row?
7/15 * 6/14 = 42/210 = 1/5
An eight sided die, numbered 1-8, is rolled. Find the probability that the roll results in an even number or a number greater than 6.
5/8
Five players on a basketball team must choose an opposing player to defend. How many different ways can this be achieved?
5! or 120
Given P(A) = 0.6, P(B) = 0.5, and P(A or B) = 0.8, are A and B mutually exclusive?
Nope.
Taking a drivers education course and passing the driver's license exam is an example of independent or dependent events?
Dependent
0.1625 or 16.25%
A college has an undergraduate enrollment of 3500. Of these, 860 are business majors and 1800 are women. Of the business majors, 425 are women. What is the probability that a randomly selected student is a business major or a woman?
447/700 or 63.9%
A race is run with 9 people. How many ways can the medals gold, silver, bronze be awarded?
9P3 or 504
At Athens Country Club, 73% of the members play bridge and swim, and 82% play bridge. If a member is selected at random, find the probability that the member swims, given that the member plays bridge.
89%
69.6%
A recent survey of 160 people found that 80 people who like snowmobiles also like skateboards, while 25 people who like snowmobiles do not like skateboards. Additionally, 45 of the people who like skateboards do not like snowmobiles. What is the probability that a person who does not like skateboards also does not like snowmobiles?
10/35
Historically, a given day at the beginning of March in upstate New York has a 18% chance of snow and a 12% chance of rain. If there is a 4% chance it will rain and snow on a day, then which of the following represents that a day in early march would have rain or snow?
26%
An employer must hire 2 people from a list of 13 applicants. How many ways can an employer hire 2?
13C2 or 78
Find the probability of getting 3 clubs out of a standard deck of cards.
52C3 or 22100
The probability of a person from the United States is left-handed is 11%. What is the probability that 4 randomly selected people are left-handed?
(0.11)^4 or 0.0146%
1.8% of businesses in the United States employ 100 or more people. If you randomly select 10 businesses, what is the probability that at least one employs 100 or more people?
11.4%
A suburban high school has a population of 1376 students. The number of students who participate in sports is 649. The number of students who participate in music is 433. The probability of students that participate in either sports or music is 974/1376. What is the probability that a student participates in both?
108/1376
A security code consists of three letters followed by one digit. The first letter cannot be A, B, or C. How many different codes are possible?
155480
A contractor is planning a subdivision. There are 6 one-story houses, 4 two-story houses, and 2 split-level houses. How many different ways can these types of houses be arranged on a street?
13,8360