Simple Probabilities
Find the Probability
Terms
Outcomes
Random
100
1/6
What is the probability of rolling a 2 when a fair die is rolled once?
100
P(5)+P(king) 4/52+4/52= 8/52 or .154
When a single card is drawn from a standard deck of cards, what is the probability of getting a 5 or a king?
100
Event
a subcollection of the outcomes of an experiment. Ex: rolling even number on a die
100
6 possible outcomes
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.
100
Green
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...
200
1/2
What is the probability of rolling an even number when a fair die is rolled once?
200
P(2)+P(R)-P(2 and R) 4/52+26/52-2/52= 28/52 or .538
When a single card is drawn from a standard deck of cards, what is the probability of getting a 2 or a red card?
200
Experiment
a controlled operation that yields a set of results.
200
9 outcomes
What are the possible outcomes of apple, peach, or cherry pie with milk, juice or tea?
200
3/4
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 ?
300
4/52 = 1/13
What is the probability that a card drawn at random from a deck of cards will be an ace?
300
P(I)+P(A)-P(I and A) .75+.25-.16 = .84
The probability that a person owns a IPhone is 0.75, that a person owns a Android is .25 and that a person owns both a IPhone and a Android is 0.16. Find the probability that a person owns either a IPhone OR a Android.
300
Outcomes
possible results of an experiment.
300
10 ways
How many ways can 2 video games be chosen from 5 video games?
300
3/4
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 ?
400
4/36 = 1/9
What is the probability that when a pair of six-sided dice are thrown, the sum of the numbers equal 5?
400
11/24
You have a bag of 24 marbles. 8 marbles are blue, 9 marbles, 5 are green and 2 are yellow. Find P (Red or Yellow).
400
Empirical Probability
What actually happens.
400
6 ways
How many ways can a person choose to watch two TV shows from four TV shows?
400
(>2 or <6) P(>2)+P(<6)-P(>2 and <6) 4/6+5/6-3/6 = 6/6 or 1
A single die is rolled one time. Find the probability of rolling a number greater than 2 or less than 6.
500
13/32 = .40625 1,10,11,12,13,14,15,16,17,18,19,21,31
A book contains 32 pages numbered 1-32. If a student randomly opens the book, what is the probability that the page number contains digit 1?
500
A and C
Which of these numbers cannot be a probability? a)-0.00001 b)0.5 c)1.001 e)0 d)1 e) 20% **Remember** A probability is always greater than or equal to 0 or less than or equal to 1.
500
Theoretical Probability
What could happen.
500
8 outcomes
A coin is tossed three times. How many outcomes are possible?
500
3/5 * 2/4 = 6/20 1-6/20 = 7/10 or 0.7
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 at least 1 can of soup.