Theoretical/Simple Events
What is the probability of rolling a dice and it landing on an even number?
1/2; or 0.5; or 50%
The experimental probability that Kamden will catch a fly ball is equal to 7/8. About what percent of the time will Kamden catch a fly ball?
87.5%
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 "probability."
The measure of how likely an event is to happen
How likely is it that a coin is flipped and lands on tails?
As likely as not (1/2; 50%)
If there are 9 runners in a race, how many different ways can they come in 1st, 2nd, and 3rd place?
504
The carousel at Hometown Days has 32 jumping horses and 16 standing horses. What is the probability of randomly selecting a jumping horse?
2/3, or 0.66, or 66.6%
Joe flipped a coin 450 times. He got heads 240 times and tails 210 times. What is the experimental probability that the coin lands on heads?
8/15; or 0.53; or 53%
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.
How likely is it that a number cube is tossed and lands on 3?
Unlikely (1/6; 17%)
Daniel made 6 out of 15 free throw shots. About how many out of the next 10 free throw shots would you expect him to make?
4
Each card in a set of cards has one of the letters from the word mathematics. The cards are shuffled. What is the probability of drawing the letter m?
2/11
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%
Devon and Lucy are candidates for class president of the 7th grade. Emily, Parker, and Dakota are candidates for vice president. How many winning combinations are possible?
6
Define "theoretical probability."
It is the probability of what should occur.
How likely is it that a number cube is tossed and it lands on 8?
Impossible (0%)
On the last math test in Decker's class, 17 out of 25 students scored an 80 or higher. Using the experimental probability data, predict how many students in a class of 28 would be expected to score 80 or higher.
About 19 students
At a school health fair, individual pieces of fruit are placed in paper bags and distributed to students randomly. There are 20 apples, 15 apricots, 25 bananas, 25 pears, and 30 peaches. What is the probability of NOT getting an apple?
19/23; or 0.83; or 83%
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%
Ms. Martinson 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. How many combinations are in the sample space?
12
Define "sample space"
The list of all the possible outcomes.
How likely is it that a number cube is tossed and lands on any number 1-6?
Certain (100%)
Based on a sample survey, a company claims that 75% of their customers are satisfied with their products. Out of 1,176 customers, how many would you predict to be satisfied?
882 customers
There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. One marble is taken out and not replaced. 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%
A six-sided die is thrown 50 times. Using the list below, what is the experimental probability of rolling a 3? What is the theoretical probability of rolling a 3?
1 = 8 times
2 = 6 times
3 = 7 times
4 = 12 times
5 = 10 times
6 = 7 times
Experimental = 7/50; or 0.14; or 14%
Theoretical = 1/6; or 0.17; or 17%
Create an example in which the total number of outcomes in a sample space is 24.
ex: 3 breads, 2 meats, 4 cheeses
6 shirts, 2 socks, 2 pants
What 2 numbers are used to represent the lowest and highest probability of an event?
0 and 1
How likely is it that a number cube lands on 2 and a coin lands on heads?
Very Unlikely (1/12 or 8%)
Frank is rolling a die. His goal is to roll a 4. In 20 attempts, he is successful 9 times. What would you expect to happen if he rolled 200 times?
He would get closer to the theoretical probability of 1/6 rolls being 4