Theoretical
Experimental
Fundamental Counting Principle
Vocabulary
Permutations & Combinations
100
Maria is flipping a coin and spinning a spinner. The spinner has 4 equal sections labeled A-D. What is the probability the coin will land on heads and the spinner will land on the letter "A"?
What is 1/8 or 0.125, or 12.5%?
100
Hasaan has a spinner with 5 equal sections, each a different color. After only 10 spins, the pointer had landed on red 40% of the time. After a whopping 1,000 spins, the pointer landed on red only 22% of the time. How can Hasaan account for this change in experimental probability?
As the number of trials increase, the experimental probability reaches closer to the theoretical probability. (The Law of Large Numbers)
100
You are trying to decide what to wear to school. You know you have a green pair of pants, a red pair, and a blue pair. You also have a brown shirt, a plaid shirt, and a yellow shirt. How many different outfit combinations can you make?
What is 9?
100
Definition of "Theoretical Probability."
What is the probability of what should occur?
100
There are 11 runners in a race, in how many possible ways can all 11 runners finish the race? (Just express the formula you would use to calculate this answer).
What is 11! or.... 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1?
200
The classic wood carousel at Carousel Park in Hampton, VA has 32 jumping horses and 16 standing horses. What is the probability of randomly selecting a jumping horse?
What is 1/2, or 0.50, or 50%?
200
Ofelia is watching a baseball game. So far, 10 out of 15 batters have gotten a hit. What is the experimental probability that the next batter will get a hit?
What is 2/3?
200
What is the number of possible outcomes for spinning one spinner with 8 equal sections and another spinner with 6 equal sections?
What is 48 possible outcomes?
200
Definition of "Experimental Probability."
What is the probability of what actually occurs?
200
There are 11 runners in a race, in how many ways can the 11 runners finish first, second, and third?
What is 990?
300
What is the probability of rolling two odd numbers in a row with a standard number cube?
What is 1/4, or 0.25, or 25%?
300
A letter tile is randomly selected from a bag, recorded, and replaced 100 times. The results are listed below. What is the experimental probability of selecting the letter "E"? A = 16 E = 11 I = 29 O = 19 U = 25
What is 11/100 or 0.11, or 11%?
300
Amiya and Keyshawn are candidates for class president of the 7th grade. Ajaye, Chishon, and Laura are candidates for vice president. How many winning combinations are possible?
What is 6?
300
Describe the difference between events that are certain, likely, equally likely, unlikely, or never going to happen.
What is.... ? certain: 100% of the time likely: greater than 50% of the time equally likely: exactly 50% of the time unlikely: less than 50% of the time never: 0% chance of occuring
300
A group of 8 people are forming several committees. Find the number of 3-person committees that can be formed?
What is 56?
400
There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. One marble is taken out and not replaces. A second marble is then taken out and not replaced. What is the probability both marbles that were taken out are red?
What is 1/5, or 0.20, or 20%?
400
Pedro recorded the types of birds that visit his bird feeder. Based on the results below, what is the probability the next bird will be a chickadee? Woodpecker = 3 Chickadee = 5 Cardinal = 1 Sparrow = 13 Blue Jay = 3
What is 1/5, or 0.20, or 20%?
400
Ms. French is packing for a trip. She packs a white blouse, a pink blouse, a blue blouse, and a green blouse. She also packs a black suit, a navy blue suit, and a gray suit. What is the probability that the first outfit she wears is the gray suit with a pink blouse?
What is 1 out of 12?
400
Definition of "Independent Events."
What is the outcome of one event NOT AFFECTING the outcome of the second event? (replacing items)
400
You have a homework assignment in Science, English, Spanish, and Math tonight, but can't decide in which order to complete them. How many choices of orders do you have?
What is 24?
500
Jarvonya spins a spinner with 5 equal sections numbered 1-5 and she spins another spinner with 5 equal sections with the letters A-E. What is the probability she will spin a 4 and a B?
What is 1/25 or 0.04, or 4%?
500
A six-sided die is thrown 50 times. Using the list below, how does the theoretical probability of rolling a 3 compare to the experimental probability of rolling a 3? Number on Die How Many Times it Landed on that Number 1 8 2 6 3 7 4 12 5 10 6 7
The theoretical probability is higher than the experimental probability. (Theoretical = 17%, Experimental = 14%)
500
What is the probability of rolling three 4's in a row on a number cube?
What is 1/216?
500
Definition of "Dependent Events."
What is the outcome of one event AFFECTING the outcome of the second event? (not replacing items)
500
Ann has 7 books she wants to put on a bookshelf. How many possible arrangements of books are there?
What is 5040?
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