Counting Techniques
You are choosing 1 shirt from 4 options and 1 pair of pants from 3 options.
How many different outfits are possible?
What is 12?
A student randomly selects a day of the week.
What is the probability of selecting a weekend day?
What is 2/7?
A normally distributed variable has mean 100 and standard deviation 15.
What is the z-score for a value of 115?
What is 1?
A sample mean is 25 and the margin of error is 2.
What is the confidence interval?
What is (23, 27)?
You have 3 apples and you give away 1.
How many apples do you have left?
What is 2?
A 3-character code is formed using letters A, B, and C, with no repeats allowed.
How many different codes can be made?
What is 6?
A fair die is rolled once.
What is the probability of rolling an even number?
What is 1/2?
A normally distributed test has mean 70 and standard deviation 8.
What is the probability that a score is above 78?
What is 0.1587?
A confidence interval is given as (10, 18).
What is the sample mean?
What is 14?
A clock shows 3:00.
What is the angle between the hour and minute hands?
What is 90 degrees?
You are arranging 5 different students in a line for a group photo.
How many different arrangements are possible?
What is 120?
A bag contains 5 red marbles and 3 blue marbles. One marble is drawn at random.
What is the probability of drawing a blue marble?
What is 3/8?
Heights are normally distributed with mean 68 inches and standard deviation 4 inches.
What is the probability a person is between 60 and 76 inches tall?
What is 0.9544?
A sample mean is 90 and the margin of error is 7.
What is the lower bound of the confidence interval?
What is 83?
2x+5=17
What is the value of x?
What is 6?
A teacher chooses 4 students from a class of 12 to present projects. The order of selection does not matter.
How many different groups of students can be chosen?
What is 495?
A box contains 3 pens, 5 pencils, and 2 markers. One item is chosen at random.
What is the probability of selecting a pencil?
What is 1/2?
A normal distribution has mean 100 and standard deviation 12.
What score corresponds to the 25th percentile?
What is about 91.9?
A sample mean is 80, standard error is 3, and the critical value is 2.
What is the confidence interval?
What is (74, 86)?
You walk 3 miles north and then 4 miles east.
How far are you from your starting point?
What is 5 miles?
A security system creates a 4-digit code using digits 0–9. No digit can repeat, and the first digit cannot be 0.
How many valid codes are possible?
What is 4536?
A standard deck of 52 cards is used. One card is drawn at random.
What is the probability of drawing a face card?
What is 3/13?
A normal distribution has mean 50 and standard deviation 10.
What value corresponds to the 90th percentile?
What is about 62.8?
A sample mean is 72, standard deviation is 8, sample size is 16, and a 95% confidence level.
What is the confidence interval?
What is (67.74, 76.26)?
A rectangle has a length of 12 and a width of 7. A square with side length 3 is cut out from the rectangle.
What is the remaining area?
What is 75?