Experimental/Theoretical
Determine if the situation is fair or unfair.
Rolling a 3 on a numbered dice.
What is fair?
Decide whether each set of events is independent or Dependent.
A student flips heads on a coin and tails on the second coin.
What is Independent?
Define combination:
What is a way of arranging objects or values where order does not matter.
Define permutation:
What is a way of arranging in an ordered fashion of objects or values where order matters.
Of 10 people at the park, 4 really like the new playground. Use the information to predict how many out of 100 people would really like the new playground.
What is 40 out of 100 people?
You have a spinner with 4 equal sections of orange, blue, red and black. The probability of spinning any color is 1/4. What kind of probability am I using.
What is theoretical probability?
A flipped coin landing tails up and rolling a 3 or a 4 on a number cube.
What is 1/6
Compute 16c10.
What is 8,008?
How many different batting orders are possible for 10 players on a league softball team?
What is 3,628,800 ways?
If you roll a number cube 12 times, about how many times do you expect to roll an odd number?
What is about 6 times?
A number cube is rolled 60 times. Twelve outcomes are the number 3. What is the experimental probability of rolling a 3?
What is 1/5? (Simplified version)
Drawing a red marble from a bag of 6 red and 4 blue marbles, replacing it, and then drawing a blue marble.
What is 6/25?
How many ways can you deal a three card hand from a standard deck if order doesn't matter? (Hint: One deck contains 52 cards)
What is 22,100?
How many ways can you arrange five books on a shelf?
What is 120?
If 14 of 40 students are interested in participating in athletics, how many out of 420 would you expect to be interested in athletics?
What is 147?
A number cube is rolled 60 times. The results were 1-14 times, 2-6 times, 3-12 times, 4-8 times 5-7 times and 6-13 times. What is the theoretical probability of rolling a 3?
What is 1/5?
Drawing a 5-10 cards numbered 1 through 10 and rolling a 8 on a number cube.
What is 0?
There are 53 band students going on a field trip, how many ways can the teacher put them in groups of two for the bus ride?
What is 1,378?
How many ways can a person choose to watch two television shows from four television shows?
What is 12?
For every 75 light bulbs produced at a factory, 2 are defective. In a box of 300 light bulbs, how many would likely be defective?
What is 8?
Explain the difference between theoretical probability and experimental probability.
Theoretical probability is what SHOULD actually happen, experimental probability is based on the outcomes obtained from an experiment.
Each letter of the word probability is written on a card and put in a bag. What is the the probability of picking a vowel on the first try and again on the second try if the first card is replaced?
What is 16/121?
There are 11 clowns in a circus, how many ways can you group the clowns if only three preform in a show?
What is 165?
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?
What is 59,280?
At the school carnival, Jesse won the balloon dart game 1 out of every 5 times he played. If he plays another 15 times, about how many times can he expect to win?
What is 3?