Theoretical
Maria is flipping a coin and spinning a spinner. The spinner has 5 equal sections labeled A-E. What is the probability the coin will land on heads and the spinner will land on the letter "A"?
1/10 or 0.10, or 10%
Liv has a spinner with 5 equal sections, each a different colour. 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 Liv 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)
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?
9
Define "theoretical probability."
It is the probability of what should occur.
A COIN AND A NUMBER CUBE WITH THE NUMBERS 1 THROUGH 6 ARE TOSSED. WHAT IS THE PROBABILITY OF THE COIN SHOWING TAILS AND THE NUMBER CUBE SHOWING THE NUMBER 3?
1/12
Calaway Park has bumper cars. There are 30 blue cars and 10 red cars. What is the probability of randomly selecting a red car?
1/4, or 0.25, or 25%
You roll a die ten times. Three of those times, you get a 6. What is the experimental probability of rolling a 6?
3/10
What is the number of possible outcomes for spinning one spinner with 8 equal sections and another spinner with 6 equal sections?
48 possible outcomes
Define "experimental probability."
The probability of what actually occurs.
AT SUMMER CAMP, THE CAMPERS PICK TWO ACTIVITIES FOR THE FIRST DAY OF CAMP. THEY CAN CHOOSE FROM AMONG HIKING, CANOEING, ROCK CLIMBING, AND BIRD WATCHING.
HOW MANY DIFFERENT COMBINATIONS OF ACTIVITIES ARE THERE?
6
What is the probability of rolling two odd numbers in a row with a standard number cube?
1/2, or 0.50, or 50%
A letter tile is randomly selected from a bag, recorded, and replaced 100 times. The results are listed below.
A = 16 E = 11 I = 29 O = 19 U = 25
What was the experimental probability of selecting the letter "E"?
11/100 or 0.11, or 11%
Amiya and Keyshawn are candidates for class president of the 7th grade.
Ajaye, Chishon, and Laura are candidates for vice president.
How many combinations of president & vice-president are possible?
6
Describe the difference between events that are certain, likely, equally likely, unlikely, or never going to happen.
Certain would be 100% of the time, likely is anything greater than 50% of the time, equally likely is exactly 50% of the time, unlikely is anything less than 50% of the time, and never is anything that has a 0% chance of occuring.
A RESTAURANT OFFERS FOUR SIZES OF PIZZA, TWO TYPES OF CRUST, AND EIGHT TOPPINGS. HOW MANY POSSIBLES COMBINATIONS OF PIZZA WITH ONE TOPPING ARE THERE?
64
There are 3 red marbles, 1 green marbles, and 1 yellow marble in a box. One marble is taken out and then replaced. A second marble is then taken out. What is the probability both marbles that were taken out are red?
6/10 or 3/5, or 0.60, or 60%
Pedro recorded the types of birds that visit his bird feeder.
Woodpecker = 3 Chickadee = 5 Cardinal = 1 Sparrow = 13 Blue Jay = 3
Based on the results, what is the probability the next bird will be a chickadee?
5/25 or 1/5, or 0.20, or 20%
Define "independent event."
When one event occurs and the item is replaced before the second event occurs.
How likely is it that a number cube is tossed and lands on a 3 or a 4?
2/6 or 1/3, 0.33 or 33%
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%
A six-sided die is thrown 50 times. The results are:
1-8, 2-6, 3-7, 4-12, 5-10, 6-7
Using the results, how does the theoretical probability of rolling a 3 compare to the experimental probability of rolling a 3?
The theoretical probability is higher than the experimental probability. (Theoretical = 17%, Experimental = 14%)
What is the probability of rolling two 4's in a row on a number cube?
1/36
Define "probability"
How likely something is to occur.
Carlin has rolled a 6 on his dice, three times in a row. What is the probability that he'll roll a 6 next time?
1/6
Each time you roll the dice *independent event, the probability resets.