permutations and combinations
How many ways can you arrange 3 pieces of candy on a desk if you have 7 pieces of candy in your pocket?
210
6!/(6-2)!=
30
Explain the difference between experimental and theoretical probability.
They are different because theoretical probability tells you what is "supposed" to happen where experimental probability is actually experimenting with the probability and may differ from theoretical.
Jim walks into a store to buy a custom suit. He has the choice between 4 different styles and 5 different colors. How many unique suits can be made?
10,000
A bag contains 3 white marbles, 2 black marbles, and 5 red marbles. Find the probability of drawing a black marble on the first draw.
1/5
How many different 12 member juries can be chosen from a pool of 32 people?
225,792,840
[5!/(7-3)!] x [4!/(4-0)!]
5
Explain the law of large numbers
The law of large numbers says that over many trials, the experimental probability will begin to converge to the theoretical probability.
How many different PIN numbers can one choose for a debit card? (A PIN number consists of 4 numbers)
10,000
What is the probability of rolling an odd number when rolling a dice. (A dice consists of numbers 1-6)
1/2
John has 4 identical orange plates, 10 identical blue plates, and 1 red plate. In how many ways can he stack the plates?
10,080
How many different ways can you arrange 5 letters if the letters can not be repeated?
120