Theoretical
One dice is rolled. What is the probability of rolling a 3?
1/6
A coin is flipped 100 times and the results were 25 heads and 75 tails. Based in the experiment, what is the probability of flipping the coin and getting heads up?
1/4
You know you have four different pants and three different shirts, how many combinations of pants and shirts can you make?
12
Define "theoretical probability." Is it based on calculation or experiment?
It is the calculated probability
A fruit bowl has 3 apples and 3 pears. What is the probability of choosing a pear, then another pear, without replacement?
3/6 x 2/5 = 6/30 = 1/5
A carousel has 2 jumping horses and 2 standing horses. What is the probability of randomly selecting a jumping horse?
1/2, or 0.50, or 50%
A coin is tossed 1000 times resulting in 700 heads and 300 tails. What does this mean about the coin?
It is not fair
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 based on an experiment.
Two red marbles and one blue marble are in a bag, what is the probability of choosing a blue marble, then a red marble without replacement?
1/3 x 2/2 = 1/3
What is the probability of drawing a heart from a standard deck of cards?
1/4, or 0.25, or 25%
A letter tile is randomly selected from a bag, recorded, and replaced 16 times. The results are listed below. What is the experimental probability of selecting the letter "E"?
A = 4, E = 5, I = 4, and O = 3
5/16
Peter, Ritch, Mary and Sam are candidates for class president and vice president for the seventh grade. How many ways can president and vice president be chosen?
12
What is the sample space?
The total number of outcomes
You have 100 Starbursts in a bag with 50 yellow and 50 pink. What is the probability of choosing a pink and then a yellow, without replacement?
50/100 X 50/99 = 25/99
There are 3 red marbles, 2 green marbles, and 5 blue marbles in a bag. One marble is taken out and replaced. A second marble is then taken out. What is the probability that a red marble and then another red marble is chosen?
3/10 * 3/10 = 9/100
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; 25 total birds
1/5
Sheila packs a white blouse, a pink blouse, a blue blouse, and a green blouse. She also packs a black suit, a navy 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
Define "independent event."
When one event occurs and the item is replaced before the second event occurs, or when the outcome of one event does not affect the outcome of a second event.
The letters A,B,C, D and E in random order in a jar. What is the probability of selecting a A, then another A without replacement?
0
Navonya 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, how does the theoretical probability of rolling a 3 compare to the experimental probability of rolling a 3? This is the list of the number rolled followed by the quantity 1: 8, 2: 6, 3: 7, 4: 12, 5: 10, 6: 7
The experimental probability is 7/50 =.84/6
The theoretical probability is 1/6
What is the probability of rolling three 4's in a row on a standard dice?
1/216
Define "dependent event."
When one event occurs and that item is not replaced before the second event occurs, or when the outcome of one event *does* affect the outcome of another event.
There are 4 Cokes, and 4 grape sodas in an ice chest. What is the probability of randomly selecting a Coke and then a grape soda, without replacement?
4/8 X 4/7 = 2/7