Theoretical
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%
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. What is his result called?
Relative Frequency.
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 in the future.
How likely is it that a coin is flipped and lands on tails?
Equally likely or 1/2
The classic wood carousel at Carousel Park in Hampton, VA has 16 jumping horses and 16 standing horses. What is the probability of randomly selecting a jumping horse?
1/2, or 0.50, or 50%
Hasaan has a spinner with 5 equal sections, each a different color. What would be his theoretical probability if he lands on the 1 section that is red?
1/5
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 "relative frequency."
The probability of what actually occurs in an experiment.
How likely is it that a number cube is tossed and lands on 3?
Unlikely or 1/6
What is the probability of rolling two odd numbers in a row with a standard number cube?
9/36, or 1/4, or 0.25, or 25%
A letter tile is randomly selected from a bag, recorded, and replaced 100 times. The results are listed below. What is the relative frequency of selecting the letter "E"? A = 16 E = 11 I = 29 O = 19 U = 25
11/100 or 0.11, or 11%
Amiya and Keshawn are candidates for class president of the 7th grade. Ajay, Chishon, and Laura are candidates for vice president. How many winning combinations are possible?
6
What are the probability percentages of events that are unlikely to happen.
Unlikely events have a probability of anything less than 50% of the time but greater than 0%.
How likely is it that a six-sided cube is tossed and it lands on 8?
never going to happen or 0%
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?
6/30, or 1/5, or 0.20, or 20%
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. Brown 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 or 1/12
Define "independent event."
When one event occurs and the item is replaced before the second event occurs. There is replacement.
How likely is it that a number cube is tossed and lands on ANY number 1-6?
Certain or 100%
Jamilla 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. Using the list below, is the theoretical probability of rolling a 3 lower or higher to the relative frequency of rolling a 3?
1 landed eight times; 2 landed six times; 3 landed seven times; 4 landed twelve times; 5 landed ten times; 6 landed seven times.
The theoretical probability is higher than the relative frequency (TP = 16.66%, RF = 14%)
What is the probability of rolling three 4's in a row on a number cube?
1/216
Define "dependent event."
When one event occurs and that item is not replaced before the second event occurs. There is NO replacement.
How likely is it that a six-sided cube lands on 2 and a coin lands on heads?
Unlikely or 1/12