Simple Probabilities
What is the probability of rolling a 2 when a fair die is rolled once?
1/6
When a single card is drawn from a standard deck of cards, what is the probability of getting a 5 or a king?
P(5)+P(king) 4/52+4/52= 8/52 or .154
a sub-collection of the outcomes of an experiment. Something that happens Ex: rolling even number on a die
Event
How many outcomes are possible from a choice of jeans or khaki shorts and a choice of a yellow, white, or blue shirt. Use tree diagram.
6 possible outcomes
2 red, 5 blue, 8 green, and 3 yellow chips are placed in a bucket. The color with the greatest chance of being drawn is...
Green
What is the probability of rolling an even number when a fair die is rolled once?
1/2
When a single card is drawn from a standard deck of cards, what is the probability of getting a 2 or a red card?
P(2)+P(R)-P(2 and R) 4/52+26/52-2/52= 28/52 or .538
a controlled operation that yields a set of results.
Experiment
What are the possible outcomes of choosing an apple, peach, or cherry pie with milk, juice or tea?
9 outcomes
Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 2, 8, or 4 ?
3/4
What is the probability that a card drawn at random from a deck of cards will be an ace?
4/52 = 1/13
If you roll a die, what is the probability of it being odd and less than 5?
2/6 = 1/3
possible results of an experiment.
Outcomes
How many ways can 2 video games be chosen out of 5 different video games total?
10 ways
One digit from the number 4,939,559 is written of each of seven cards, What is the probability of drawing a card that shows 4 or 5 ?
3/7
What is the probability that when a pair of six-sided dice are thrown, the result is the same number on both?
6/36 = 1/6
You have a bag of 24 marbles. 8 marbles are blue, 9 marbles are red, 5 are green and 2 are yellow. Find P (Red or Yellow).
11/24
This type of probability describes what actually happens.
Experiemental Probability
Terry is building a bike and can choose from 4 colors (red, green, blue, and purple), 2 seat choices (normal and extra cushion), and 2 types of handle bars (straight and curved). How many different bikes can he make?
16 different bikes
A single die is rolled one time. Find the probability of rolling a number less than 6.
1
A book contains 32 pages numbered 1-32. If a student randomly opens the book, what is the probability that the page number contains a #1 in its digit/s?
13/32 = .40625 1,10,11,12,13,14,15,16,17,18,19,21,31
Which of 2 of these choices cannot be a probability? a)-0.00001 b)0.5 c)1.001 d)0 e)1 f) 20%
A and C
The probability that describes what should happen.
Theoretical Probability
A coin is tossed three times. How many outcomes are possible?
8 outcomes
Eloise has put 5 cans (all of the same size) on her kitchen counter; 2 cans of vegetables, 2 cans of soup, and 1 can of peaches. Her son, Andy, takes the labels off the cans and throws them away. Eloise then chooses 2 cans at random to open. Find the probability that she will open a can of soup.
3/5 * 2/4 = 6/20