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Theoretical
Experimental
Compound Events
Vocabulary
How Likely is it?
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"?
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 roll a dice two times. Find P(even, then 1)
1/12
100
Define "theoretical probability."
It is the probability of what should occur.
100
How likely is it that a coin is flipped and lands on tails?
Equally likely
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?
2/3 
200
You check 20 cartons of eggs. Three of the cartons have at least one cracked egg. What is the experimental probability that a carton of eggs has at least one cracked egg?
3/20   or  15%
200
You spin a spinner with four even parts (blue, red, green, yellow) and draw a card. Find P(blue, then Ace)
1/52
200
Define "experimental probability."
The probability of what actually occurs.
200
How likely is it that a number cube is tossed and lands on 3?
Unlikely
300
What is the probability of rolling two odd numbers in a row with a standard number cube?
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
11/100 or 0.11, or 11%
300
You pick a marble from a bag containing 1 green marble, 4 red marbles, 2 yellow marbles and 3 black marbles. You do not replace the first marble and then select a second one. Find P(yellow, then black).
1/15
300
According to the Fundemental Counting Principal, how many different cars can you get from 5 models, 3 colors, and 4 different engines?
60
300
How likely is it that a number cube is tossed and it lands on 8?
never going to happen
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?
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
1/5, or 0.20, or 20%
400
Seven girls and five boys volunteer to represent their class at a school assembly. The teacher selects one name and then another from a bag containing the twelve student's names. Find P(2 girls).
7/22
400
Define "independent event."
When one event occurs and the item is replaced before the second event occurs.
400
How likely is it that a number cube is tossed and lands on any number 1-6?
Certain
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?
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
A box contains 5 green marbles, 5 blue marbles, and 3 orange marbles. You draw one marble, do not replace it and draw another marble.Find P(green, then blue).
25/156
500
Define "dependent event."
When one event occurs and that item is not replaced before the second event occurs.
500
How likely is it that a number cube lands on 2 and a coin lands on heads?
unlikely