Theoretical
ONE DICE IS THROWN, 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
Calculate 8!
40,320
8x7x6x5x4x3x2x1
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.
The permutation of finding the number of ways a student council consisting of a president, vice president, and secretary can be chosen from 12 students is written as 12P3. How many different ways can the student council be made?
1320
What is the probability of rolling two odd numbers in a row with a standard number cube?
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
The combination of finding the number of ways a committee of 5 people can be chosen from 10 people is written as 10C5. How many different combinations of committees can be made?
10!/(10-5)!5! = 252
There are 3 red marbles, 2 green marbles. One marble is taken out and not replaced. A second marble is then taken out and not replaced. What is the probability that a red marble and then another red marble is chosen
3/10
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
She 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 "permutation"
Arrangements of objects, from last to first, where the order in which the objects are selected is most important.
Calculate the following:
7P3
7P3 = 210
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. 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 number cube?
1/216
Define "combination."
Collections of objects selected from a larger collection, where the order of selection is not important.
Calculate the following:
8C2
8C2 = 28