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 heads?
1 / 8
If a team has a history of winning 70% of their games and there are 20 games in a season, how many games should they win this season?
14
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?
59,280
This the result of an event.
a. dependent
b. event
c. outcome
d. chance
Outcome
A school cafeteria has 3 containers of white milk, 5 containers of chocolate milk and 2 containers of apple juice left. Iliana is first in line and Vishal is second. If the drinks are given out randomly, what is the probability that Iliana will get chocolate milk and Vishal will get apple juice?
1 / 9
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
A) When does order matter?
B) When does order not matter?
A) Permutations (order matters)
B) Combinations (does not matter)
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
A cooler contains 5 cans of diet cola, 6 cans of regular cola, and 4 cans of grape soda.
Janice randomly selects a can from the cooler. Then David randomly selects a can from the cooler. What is the probability that both Janice and David will select diet cola
2 / 21
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
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
Mr. O is picking cards from a deck. What is the probability that he will pick 3 aces in a row if he replaces the cards?
1 / 2197
There are 4 teams in tournament. Team A wins 50% of their games. Team B has a record of (12, 10). Team C loses 40% of their games. Team D has a record of winning 2/3 of their games. Which team is has the highest probability of winning?
The team most likely to win is Team D.