Possible Outcomes
You a 6 six sided die and a 12 sided die, how many possible outcomes are there?
72
What is the probability of rolling an even number on a 6-sided die?
1 / 2
You have bag of 15 marbles. 3 are blue, 6 are red, and 6 are yellow. What is the probability that you pick a yellow and then a red if you do not replace the marbles in-between?
6 / 35 or .17
You roll a 1-6 number cube twice. What is the probability that you roll a 3 on the first roll and a 6 on the second roll?
1 / 36
How many ways can we order a four topping pizza if there are seven toppings to chose from?
35
You flip a coin and roll a 6-sided Die. How many possible outcomes are there?
12
A coin is flipped and lands heads up and then a face card is pulled from a deck of 52. Are these events independent or dependent?
Independent
Zeus has a set of 10 colored markers in a backpack. There is one yellow one and one blue one. What is the probability Zeus will reach into the backpack without looking and grab the yellow marker and then reach in a second time and grab the blue marker (without putting the first marker back)?
1 / 90 or .011111
A coin is flipped three times. What is the probability of getting all tails?
1 / 8
Permutations and combinations.
A) For which does order matter?
B) For which does order not matter?
A) Permutations (order matters)
B) Combinations (does not matter)
To open your locker, you must dial a sequence of three numbers called the lock’s combination. Given that there are 40 numbers on a lock, how many different locker combinations are there? (The same number can occur multiple times in a row on this lock)
64000
You roll a 12 sided die. What is the probability of rolling a number less than 5 or an even number.
2/3
A school cafeteria has 3 containers of whole milk, 5 containers of chocolate milk and 2 containers of apple juice left. Joe is first in line and Jess is second. If the drinks are given out randomly, what is the probability that Joe will get chocolate milk and Jess will get apple juice?
1 / 9 or .111111
A set of eight cards is labeled with the numbers 1 through 8. A card is chosen, replaced, and a second card is chosen. What is the probability that both cards will be even numbers?
1 / 4
Identify n and r in the following problem: How many ways can you deal a five card hand from a standard deck?
n=52
r=5
Sandy's Sandals come in: 4 different styles: sport, super-sport, casual, and dress; 5 different colors; and 9 different sizes. How many choices are there?
180
What is the probability of drawing a Queen or a Diamond from a standard deck of 52 cards?
(there are 4 of each number/face card in each deck, and 13 of every suit)
4/13 or .307
A birthday party has a grab bag for each of the guests. There are 8 bags filled with candy, 5 containing CDs, and 2 grand prize bags with gift certificates. The bags are identically wrapped and shuffled. Sue is first to choose a bag, and Devon is second. What is the probability that Sue and Devon will both choose grand prize bags?
1 /105 or .0095
You roll a 6 sided die three times. What is the probability of rolling the same number all three times?
1/216 or .0046
There are 18 astronauts trying to go on a mission to Mars. However, there are only four seats on the rocket. How many different groups of four can go on the rocket?
3060
In Katie's closet, there are 21 different skirts, 5 different hats, and 9 different pairs of shoes. How many possible outfit combinations can she choose from?
945
Explain the Law of Large Numbers.
The larger a sample size of events, the closer the observed probability will be to the theoretical probability.
Ms. Lanz is picking cards from a deck. What is the probability that she picks three aces in a row if she does not replace the cards?
1 / 5525 or .00018
You are is picking cards from a deck. What is the probability that you will pick 3 aces in a row if you replaces the cards?
1 / 2197 or .00046
A distance medley relay race has 4 different legs; 1200m, 800m, 400m, 1600m. There are 16 students on your track team. In how many different ways can your coach select students to compete in the relay race?
43680