Permutations v. Combinations v. Counting Principle
What is the formula for Combinations?
n!/r!(n-r)!
What is the probability of rolling a 6 on a fair dice?
1/6
Find the probability that on a spinner with 7 equal positions, a 3 is spun.
1/7
You draw one card from a standard deck of playing cards. If you pick a heart, you will win $10. If you pick a face card, which is not a heart, you win $8. If you pick any other card, you lose $6. Do you want to play?
22/52
Hunter is taking a 15 question multiple choice test. Each question has 3 options to choose from. What is the probability that he gets 10 of them correct? Give as a percent!
0.66%
What is the formula for permutations?
n!/(n-r)!
What's the probability of rolling two 6's in a row on a fair dice?
1/36
On a spinner with 7 equal positions, Find the probability that a 7 is spun and then a 3 is spun.
1/49.
The world famous gambler from Philadelphia, Señor Rick, proposes the following game of chance. You roll a fair die. If you roll a 1, then Señor Rick pays you $25. If you roll a 2, Señor Rick pays you $5. If you roll a 3, you win nothing. If you roll a 4 or a 5, you must pay Señor Rick $10, and if you roll a 6, you must pay Señor Rick $15. Is Señor Rick loco for proposing such a game?
-5/6
Hunter is taking a 15 question multiple choice test. Each question has 3 options to choose from. What is the probability that he gets 3 of them correct? Give as a percent!
12.98%
I have 17 shirts, 4 pairs of pants, 9 pairs of jackets, and 6 pairs of shoes. How many outfits are available if I don't wear any shoes?
612 outfits without shoes.
Draw the sample space for the sum of spinning a spinner with 7 equal parts.
I'll judge it.
Your company plans to invest in a particular project. There is a 35% chance that you will lose $30,000, a 40% chance that you will break even, and a 25% chance that you will make $55,000. Based solely on this information, what should you do?
Since expected value is positive, proceed with the project.
Name two of the components of being a Binomial Experiment?
Binary
Probability of success is always the same
Fixed number of trials
Successes and Failures are Independent
I am hosting a race to raise money for the volleyball team. I have prizes for the runners who finish 1st, 2nd, and 3rd. If there are 73 runners, how many ways can the prizes be given out?
373,176 ways.
Find the probability of the sum of two rolls being 5.
1/9
Given a spinner has 7 equal sections, what's the probability that the sum of 2 spins is at most 5?
10/49
You pay $10 to play the following game of chance. There is a bag containing 12 balls, five are red, three are green and the rest are yellow. You are to draw one ball from the bag. You will win $14 if you draw a red ball and you will win $12 is you draw a yellow ball. How much do you expect to win or loss if you play this game 100 times?
-2/12
Harvey is taking a 8 question test with 4 options each. Find the probability that he gets at least 7 correct. Give as a percent.
0.038%
There are 17 blue marbles in a bag and 16 red marbles in a bag. Regardless of color, I want to take out 6 marbles. How many ways can I do this?
1,107,568 ways.
Find the probability that the sum is at least 8? Simplify.
5/12
Given a spinner has 7 equal positions, what is the probability of spinning an odd number, given a 6 was spun first?
4/7
What does the table look like for expected value?
I will judge.
In the movie the Godfather, who takes over the family when Don Corleone passes away?
Michael Corleone