Concepts and Definitions
What is a description of a random phenomenon in the language of mathematics called?
Probability model
What is the mathematical definition of the set of all possible outcomes?
It is called the sample size.
What is conditional probabilty?
Answers can vary
Conditional probability is when you conditionally add new restrictions on the outcome of an experiment causing a conditional percentage.
In BHS a class contains 100 students; 70 of them like mathematics, 60 like physics, and 40 like both. If a student is chosen at random, Create a Venn diagram and find the probability that they like math but not physics.
The probability of someone that likes math but not physics is 0.3.
Venn Diagram provided in answer key
A bag contains 4 red balls and 6 blue balls. What is the probability of selecting a red ball? Using a Tree diagram.
It is 4/10
(tree diagram provided in answer key)
What is an example of a probability model and an example of it?
First, a probability model is a description that has two parts, a list of possible outcomes and a probability for each outcome. An example would be when you flip a coin the list of outcomes would be heads and tails and the probability of each outcome would be 50 percent as it is a fair coin with each side having an equal chance of being landed on.
Events X and Y are in the following values, P(x)=1/2,P(X U Y)=3/4, P(X ∩ Y) = 1/10.
Find P(Y)
P(Y)=7/20
Parth rolls two dice, what are the odds that both dice that he rolls a solution equal to 8 are two 4s?
It is a 1/3 probability or 33.3 percent.
In the 2000s 40 percent of the students failed high school, 25 percent failed middle school, and 19 percent failed both middle school and high school. What is the chance that when you select a student that failed middle school given that they passed high school?
0.1 or 10 percent
Venn Diagram provided in answer key
Getting a perfect score on the SAT is 60%. If you fail the first time, passing it the next time is 75%. Find the probability of passing it within it the first two times.
90 percent
Tree diagram is shown in the answer key
Jeffery flips a coin 3 times and the number of Tails is recorded. What is the probability that in the 3 tosses at least one landed a head?
7/8
The 76ers arena contains 6 blue balls and two red balls for their team practices. A ball is chosen at random by players and then replaced whereas the second ball is randomly chosen as well. What is the probability that exactly one of the balls is red?
The probability of exactly one ball being red is 3/8
A YouTuber is hosting a basketball trivia game. You are assigned to shoot a shot. There are 3 outcomes of your shot a swish which is 0.3, and bank shot which is 0.5, and an air ball which is 0.2. Whatever the outcome is you have to go to the bag labeled with the outcome and chose a prize Bag A (swish) being a 0.2 chance at a prize, bag b (bank shot) being a 0.1 chance at a prize, and bag c(airball) being a 0.5 chance. Find the probability of winnning a prize and a player that hits a bank-shot and wins the prize
The probability of winning a prize is 0.21. And hitting a bank shot and winning a prize is 0.286.
In Bensalem, there have been 260 cats, 93 are white, 95 are black, 165 are red, 18 are black and white, 75 are red and black, 20 are white and red, and 15 are all three colors. Make a Venn diagram.
Shown on the Answer key provided as you have to upgrade to the pro version to insert an image.
The probability of the soccer match being played on a rainy day is 0.27. On rainy days the probability that Ohm plays in the game is 0.2. If it is sunny then Ohm will play 0.7. FInd the chance that Ohm plays
It is 56 percent tree diagram provided in answer key
Jack bought a cheated dice, the probability to roll a 4 is 10 times more likely than any number. Find the probability fo rolling a 4.
The probability of rolling a 4 is 2/3 or 66.6 percent.
Apple came out with 6 number pin codes, Find the total number of possible pins that could be made.
There can be 1,000,000 different pin codes made.
There are two events one is Event O and Events C both are independent events. P(O)=0.6 and P(C) is 0.7, Find P( O U C).
P(O U C) = 0.88
In a sample of 100 students read a book, 45 of them read a horror story, 40 read comedy, 35 read romance, 20 studied both comedy and horror, 23 read horror and romance, 19 read both romance and comedy , and 12 read all three books. Make a Venn diagram and find students who read only one of the three books.
The probability of reading one book sis 0.32. A Venn diagram is provided in the answer key.
Akshar goes to the Arcade he has one go on the NFL and one go on the NBA. NBA has a probability of 0.2 and NFL has a probability of 0.3. What is the probability that he wins both? Also, make a tree Diagram.
0.06 of winning both.
A tree diagram is provided in the answer key.
Two fair dice are rolled 300 times, find the expected percentages that the product of the two dice will be a prime number.
50 of the 300 rolls will result in a prime number being the product.
Two dice are rolled, find the probability that a dice shows at least one 6?
The probability of rolling at least one 6 is 11/36
P(A)=0.4 and P(B)=0.55 and P(A l B)=0.7
Find P(A l B')
P(A l B') = 0.03
In a baseball team with 90 players, 54 of the players did service with the military and 47 did a test for the military. 15 players did both. Find the players that do service with the military and given that the player also took the test.
5/18
Passing a test is 0.8 but if you fail the exam and retake it the passing on the retake is 0.4. Create a tree diagram and find the percent to pass.
88 percent
Tree diagram provided in answer key