Conditional Probability
Theoretical Probability
Experimental Probability
Possible Outcomes
Permutation/Combination
100
What is the probability that the customer is aged 16-35 given that they bought a truck?
10/50 or 1/5
100
Find the theoretical probability of rolling a 4.
1/6 or 16.7%
100
Find the experimental probability of rolling a 2.
6/50 or 3/25 or 12%
100
You have 6 bracelets and 15 necklaces. How many ways can you wear one bracelet and one necklace?
90 ways
100
What is the difference between permutations and combinations?
P - order matters
C - order does not matter
200
What is the probability that the customer chooses a car given that they are aged 36-55?
160/200 or 4/5
200
Find the theoretical probability of spinning 1 or 3.
2/5 or 40%
200
Find the experimental probability of spinning a 1 or 3.
80/200 or 2/5 or 40%
200
A school is choosing a new color scheme and mascot. If there are 6 colors and 4 animals to choose from, how many possible outcomes are there?
24 possible outcomes
200
Permutation or Combination: The batting order for seven players on a 12 person team.
Permutation
300
In a survey among few people, 60% read Hindi newspaper, 40% read English newspaper and 20% read both. If a person is chosen at random and if he already reads English newspaper find the probability that he also reads Hindi newspaper.
1/2
300
Find the theoretical probability of rolling an even number.
3/6 or 1/2 or 50%
300
Find the experimental probability of rolling an even number.
24/50 or 12/25 or 48%
300
A store sells 5 different sizes of drinks, 4 different flavors, and 2 different topping choices. How many different combinations can be made?
40 different combinations
300
In how many ways can you arrange the letters in the word "SCHOOL"?
720
400
In a bag of candy canes, there are 14 broken candies mixed in with 20 good ones. If Neha chooses three candies at random from the bag, what is the probability that all three are good? Express your answer as a decimal rounded to the nearest hundredth.
0.19
400
Find the theoretical probability of spinning a number greater than 2.
3/5 or 60%
400
Find the experimental probability of spinning at most a 3.
123/200 or 61.5%
400
At a restuarant, they serve 4 appetizers, 6 entrees, and 3 desserts. How many possible meals can you get?
72 possible meals
400
A committee of 5 members is to be formed from a group of 10 students. How many different committees can be formed?
252
500
In a class of 26 students, 5 are female and 12 have an A in the class. There are 3 students who are female and have an A in the class. What is the probability that a student who has an A is a female?
3/12 or 1/4
500
Find the theoretical probability of not rolling a 5.
5/6 or 83.3%
500
Find the experimental probability of not spinning a 5.
160/200 or 4/5 or 80%
500
A tour guide organizes vacations packages. There are 7 hotels, 5 cabins, 4 meal plans, and 2 amusement parks. The tour guide chooses either a hotel or cabin and then selects one of each of the remaining options. Find the total number of possible vacation packages.
96 possible vacation packages
500
Suppose you are asked to list, in order or preference, the three best movies you have seen this year. If you saw 10 movies during the year, in how many ways can the three best be chosen and ranked?
720