Experimental Probability
Problems that are theoretical
Can you find the (relative)
frequency?
Independent Events
Dependent Events
100
In a condominium building, a survey asking the residents if they would like recycle bins available is being conducted. The condo association has a choice of surveying all residents, female residents, residents with children, or second floor residents. Which sample would be the least biased.
What is all residents ?
100
In a bag there are 5 blue marbles, 4 yellow marbles, and 2 green marbles. What is the probability that you will pull out a green or yellow.
What is 6/11 ?
100
If you flip a coin ten times and you get heads 6 times, what is the relative frequency of getting heads.
What is 3/5 or 6/10 ?
100
Chrissy's birthday is in June. What is the chance that her friend Mallory also has a birthday in June.
What is 1/12 ?
100
In a bag there are 4 blue marbles, 5 yellow marbles, and 3 green marbles. If you remove one green marble and two yellow ones, what is the chance that you will randomly pull out a yellow marble.
What is 1/3 ?
200
If you roll two 6-sided dice at the same time, what is the chance that you will roll double sixes.
What is 1/36 ?
200
In a school, 83 grade 10s ride the bus, 18 drive themselves, and 40 get a ride from their parents. What is the percent of grade 10 students who drive themselves to school. (round to the nearest %)
What is 13% ?
200
In a school, there are 302 seniors, 460 juniors, and 584 freshman. What is the relative frequency of juniors and seniors, in a decimal. (round to 3 decimal places)
What is 0.566 ?
200
A dresser drawer has four pairs of socks, each pair a different colour. What is the probability that you will randomly pull out the red pair of socks, replace them, and choose them again.
What is 1/16 ?
200
Haley wants to invest some money in a stock, and researched seven companies. She decided to place her money in one of those seven. Nick also wants to buy into a stock. He was looking at the same seven companies as Haley, and wanted to invest in one. What is the probability that they will both invest in the same stock.
What is 1/49 ?
300
A student in high school decides to take a survey of the other students to determine if the school should have another dance. If she surveys twenty random students from all grades, what type of survey would it be.
What is a sample?
300
Joe's house alarm has a four digit code. What is the probability that someone could correctly guess the code on their first try.
What is a 1/10,000 ?
300
Two college football teams have played against each other all season. The results of their games are: Team A won 10 times, Team B won 35 times, and there was a draw 5 times. What is the relative frequency of Team B's losses. (in a fraction)
What is 1/5 ?
300
On a multiple choice test, there are 20 questions. Each question has 5 choices. If George guesses on every question, what is the probability that he will get the first 3 questions right.
What is 1/125 ?
300
A wallet contains four $5 bills, five $10 bills and three $20 bills. Two bills are selected without replacement. What is the probability of pulling out a $5 bill, and then another $5 bill.
What is 1/11 ?
400
If eight coins are tossed at the same time, what is the probability that they will all land on tails.
What is 1/256 ?
400
In a class of 30, there are 17 girls and 13 boys. Five are honor roll students, and three of these students are girls. If a student is chosen at random, what is the probability of choosing a girl or an honor roll student.
What is 19/30 ?
400
At a school,106 grade 9's and 83 grade 10's take the bus, out of 253 students. What is the frequency of students who do not take the bus. Answer in a percentage.
What is 25% ?
400
In a certain city, it is found that 43% of people wear a seat belt while driving. If two people are chosen randomly, what is the probability that both of them wear a seat belt. (answer in a percent)
What is 18% ?
400
In one term, Ed has received the following marks on math assignments: 77%, 84%, 87%, and 80%. If after a test his overall mark is 80%, what is the mark he got on the test.
What is 72% ?
500
In a regular deck of 52 cards, what is the chance that if you pull out five cards with replacing them, you will end up with an Ace, King, Queen, Jack, and 10.
What is 1/371,293 ?
500
A card is picked at random from a 52 card deck. You are told that a kind was not selected. What is the probability that a red queen or red jack was selected.
What is 1/12 ?
500
900 students attend a field trip. 564 of the students are girls. For an activity, the students are split into groups that have 47 girls and 28 boys. In half of the total number of groups, what is the frequency of boys. (answer in the nearest percent)
What is 37% ?
500
In a school, 14% of students take drama and wood shop, and 67% take drama class. What is the probability that a student takes wood shop if you know that the student takes drama class.
What is 21% ?
500
If you roll two 6-sided dice at the same time, what is the probability you will get a sum of 8.
What is 5/36 ?