Permutations and Combinations
5C4
5
What is the difference between independent and dependent probability?
Whether they affect each other or not.
What is the formula for the binomial distribution?
nCk*P^k*(1-p)^n-k
What is the difference between mutually exclusive and not mutually exclusive?
They have nothing in common or they have something in common.
What are joint and marginal frequencies?
Joint are the original 4 boxes, marginal are totals
What is 7!
5040
I'm building a sandwich at subway. There are 5 types of bread, 6 types of meat, 7 veggies, and 4 dressings. How many subs can I make?
840
What are the random variables if I wanted the product of spinning (1-4 equal sections) two times?
1,2,3,4,6,8,9,12,16
Events A and B are mutually exclusive.
P(A) = .35 and P(B) = .42
What is the P(A or B)?
.87
19 juniors and 10 seniors were surveyed. 15 juniors and 8 seniors wanted to watch the softball DH. Put this into a 2 way table with marginal frequencies. (Keep this data for future questions)
15 4 19
8 2 10
23 6 29
10 of you are racing to get extra credit. How many ways can the first 3 finishers come in?
720
I have 2 dimes, 3 nickels, and 5 quarters in my pocket. What is the probability that I grade a dime first, followed by a quarter second? (After taking a coin, they do not go back in my pocket) Simplify.
1/9
When surveying this year's 9th grade students, 72% of them stated that Math was the subject they needed to work hardest in. If I randomly choose from 5 people surveyed, what is the probability that exactly 3 of them agreed?
.2926 or 29.26%
A ticket is randomly chosen from a bag with numbers 1-16. What is the probability that the number is less than or equal to 10 and a multiple of 3?
3/4 or 75%
Using the chart from the 200 point question, what is
P(Junior|Going)
15/23 or 65.21%
What is the probability that a randomly generated zip code from the digits 1,2,3,1,5,6,7,8,8 is 51167?
1/90720
In a standard deck of playing cards, I draw 3 cards. What is the probability that the first card is a 4, the second is red, and the third is the Ace of Spades? (With replacement)
1/1352
When surveying students about their love of brawl stars, 85% stated they wanted more brawlers to use. If I surveyed 10 students, what is the probability 5,6,or 7 of them wanted more? Round to nearest 100th. I will allow a slight margin of error.
.1784 or 17.84%
You survey 135 students. 81 have a movie streaming subscription. 54 have a music streaming subscription and 26 have both. What is the probability that a student has a movie streaming subscription or a music subscription?
109/135 or 80.7%
A zoo has 9 Lions and 3 Tigers. They randomly select one of the animals to get fed, while the other has to preform for a show. What is the probability that a tiger gets fed, given than a lion preforms the show?
3/11 or 27.27%
10 boys and 10 girls are entered into a contest to win free cookies. What is the probability that 1 boy and 3 girls win?
130/4845 or 26/969
There is a spinner with 8 equal sections. I spin it 3 times. What is the probability that I spin a perfect square, then a prime number, then a multiple of 5?
1/64
Even though Mr. Drexler agrees but will not admit it, 92% of the population thinks Lebron is the G.O.A.T. If I surveyed 7 other teachers, what is the probability at least 4 of them agree about Lebron. Round to nearest 100th. I will allow very little error for this answer.
.9988 or 99.88%
A football team scores a touchdown first 75% of the time when they start with the ball. The team does not score first 51% of the time when their opponent starts with the ball. The team who gets the ball first is determined by a coin toss. What is the probability that the team scores a touchdown first?
62%
First convert the 200 point question to marginal relative frequencies. Once that is found, I wanted the conditional relative frequencies for rows. Give me your answer in a 2x2 box. Round to nearest thousandth.
.789 .211
.8 .2