Probability vs Odds
Mutually Exclusive vs Overlapping Events
Independent vs Dependent Events
Permutations vs Combinations
Geometric Probability
100
You flip a coin. The probability of the coin landing on heads.
What is 50%? (Also acceptable is 1/2 or 0.5)
100
Tell whether the events are mutually exclusive or overlapping. You randomly choose a letter from the word MISSISSIPPI. Event A: You get an S. Event B: You get an I.
What is mutually exclusive?
100
Events A and B are independent. P(A) = 0.4 and P(B) = 0.7. Find P(A and B).
What is 0.28?
100
Find the number of permutations for 8 P 4.
What is 1680?
100
Ms. Smith spends 75 minutes preparing for tomorrow's math lesson. She spends 15 of those minutes recording the latest lesson video. A student walks in to the room to ask her a question about the test. Find the probability that the student will walk in while she is recording the lesson video.
What is 1/5 or 20%?
200
You roll a number cube. The probability of rolling a number greater than 5.
What is 1/6?
200
Tell whether the events are mutually exclusive or overlapping. You conduct a survey about pet ownership. Event A: The respondent is a cat owner. Event B: The respondent is a dog owner.
What is overlapping?
200
Events A and B are dependent. P(A) = 0.17 and P(B given A) = 0.11. Find P(A and B). Round to the nearest hundredth.
What is 0.02?
200
Find the number of combinations for 15 C 2.
What is 105?
200
The layout of a classroom is in the shape of a rectangle with dimensions of 18 feet by 20 feet. The teacher buys a fancy carpet to put down on the floor that measures 6 feet by 10 feet. A student comes in with a bottle of water and drops it. Find the probability that the water will drop on to the floor that is NOT covered by the new carpet.
What is 5/6 or 83.3%?
300
You have a standard deck of cards. The probability of drawing an even numbered card.
What is 5/13?
300
Events A and B are mutually exclusive. P(A) = 1/2. P(B) = 1/6. Find P(A or B).
What is 2/3?
300
Events A and B are independent. P(B) = 0.4 and P(A and B) = 0.13. Find P(A).
What is 0.325?
300
The number of ways can 7 children line up to have their photo taken.
What are 5040 ways?
300
A sky-diver jumps out of a plane and will land in a square that is 500 meters wide. If the sky-diver lands in a circle in the square that has a diameter of 100 meters, she will win a prize. Find the probability that the sky-diver wins the prize to the nearest tenth of a percent.
What is 3.1%?
400
A jar contains 2 black, 4 white, and 6 blue marbles. The odds in favor of choosing a black marble.
What is 1:5?
400
Events A and B are overlapping. P(A) = 1/4. P(B) = 1/3. P(A and B) = 5/24. Find P(A or B).
What is 3/8?
400
You roll a number cube two times in a row. What is the probability that you get a 5 on the first roll and an even number on the second roll?
What is 1/12?
400
A school wants to send 4 of its 15 middle school teachers to a conference in China. Find the number of different groups the school could send.
What are 1365 groups?
400
A classroom is 8 meters by 10 meters. There are 24 desks that are 0.8 meters by 1.1 meters each. Find the probability that a piece of paper thrown in the classroom will land on a desk (in percent form).
What is 26.4%?
500
A jar contains 2 black, 4 white and 6 blue marbles. What are the odds against choosing a white marble?
What is 2:1?
500
You roll a number cube. Find the probability that you roll an even number or a number less than 5.
What is 5/6?
500
Ms. Smith tosses all of her spare change into a jar that now contains 12 U.S. quarters and 18 Korean 100-won coins. She reaches into the jar for 2 coins. Find the probability that she will draw out 2 100-won coins. Round to the nearest tenth of a percent.
What is 35.2%?
500
There are 3 steps involved in completing a certain assignment for your English class. These steps can be completed in any order. You want to find the order of steps that takes the least amount of time. Find the number of orders of steps in which you can complete the assignment.
What are 6 different orders?
500
A goldfish lives in a cylindrical fish tank that has a diameter of 8 inches and is 6 inches tall. Inside the tank is a treasure chest that is 2 inches long, 1.5 inch wide and 1.5 inch tall. Find the probability that the goldfish will be found in the treasure chest.
What is 1.5%?