Theoretical
Experimental
Counting Principle
Vocabulary
RANDOM
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
A manufacturer makes 50,000 cell phones every month. After inspecting 1000 phones, the manufacturer found that 30 phones are defective. What is the probability that you will buy a phone that is defective? Predict how many phones will be defective next month.
30/1000 , 0.03, 3%
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?
9
100
Define "theoretical probability."
the ratio of the number of favorable outcomes to the total possible outcomes of an event.
100
The game piece has 12 sides, labeled 1 to 12. What is the sample space for the game piece?
S{1,2,3,4,5,6,7,8,9,10,11,12}
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, or 0.66667, or 67%
200
Kelly spun a spinner, which is pictured below, 40 times. She recorded her results in the table provided. What is the experimental probability of the spinner landing on the yellow section?
7/20, 0.35, 35%
200
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
200
Define "experimental probability."
the probability of an event happening based on an experiment or observation
200
Max tested a coin to see whether it was fair. The table shows the results of his coin toss experiment:
Heads Tails
26 41
What is the relative frequency of the coin landing on heads?
26/67
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
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?
6
300
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.
300
There are 5 green 7 red balls. Two balls are selected one by one without replacement. Find the probability that first is green and second is red.
(5/12) x (7/11) = 35/132
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
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?
1 out of 12
400
Define "independent event."
Two events are independent if the probability of the second event is not affected by the outcome of the first event.
EX: if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail.
400
What is the probability of getting a sum of 7 when two dice are thrown?
Total number of ways = 6 × 6 = 36 ways. Favorable cases = (1, 6) (6, 1) (2, 5) (5, 2) (3, 4) (4, 3) --- 6 ways. P (A) = 6/36 = 1/6
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
What is the probability of rolling three 4's in a row on a number cube?
1/216
500
Define "dependent event."
Two events are dependent when the outcome of the first event influences the outcome of the second event.
EX: Getting into a traffic accident is dependent upon driving or riding in a vehicle.
500
A problem is given to three persons P, Q, R whose respective chances of solving it are 2/7, 4/7, 4/9 respectively. What is the probability that the problem is solved?
Probability of the problem getting solved = 1 – (Probability of none of them solving the problem)
Probability of problem getting solved = 1 – (5/7) x (3/7) x (5/9) = (122/147)