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= 2/13 or .154
6 gals are waiting line to get a soda pop at the local diner. As you walk by, all you can think about is how many ways they can line up in different order. That evening in your study, by yourself, you figure out that the true number of different ways those 6 gals can line up is...
720
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
True or False:
Selecting a black 5 is a simple event.
False
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= 7/13 or .538
A locker at school has a dial with 50 numbers on it. How many locker codes are there if you must use 3 numbers that can repeat?
125,000
What are the possible outcomes of apple, peach, or cherry pie with milk, juice or tea?
9 outcomes
Identify the sample space of flipping two coins.
{HH, HT, TT, TH}
What is the probability that two cards drawn at random from a deck of cards will be an ace and then a king, without replacement?
1/13 x 4/51 = 4/663 = .006
Independent or Dependent:
The probability you get an ace playing blackjack, after the guy next to you gets dealt a card.
Mutually Exclusive or not:
The day of the week is Wednesday. You are in Stats class.
Dependent, Not Mutually Exclusive
The Red Sox have 8 players that can play the three outfield positions. How many groups of three are possible in any given game's starting lineup?
56
How many ways can 2 video games be chosen from 5 video games?
10 ways
Classify as subjective, empirical or classical probability:
The probability of rain tonight is 70%
Subjective
What is the probability that when a pair of six-sided dice are thrown, the sum of the numbers equal 5?
4/36 = 1/9
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).
11/24
What is the probability that the correct 4-digit garage code is guessed on the first attempt if the numbers can not repeat?
1/5040
How many ways can a person choose to watch two TV shows from four TV shows?
6 ways
A single die is rolled one time. Find the probability of rolling a number greater than 2 or less than 6.
(>2 or <6) P(>2)+P(<6)-P(>2 and <6) 4/6+5/6-3/6 = 6/6 or 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 digit 1?
13/32 = .40625 1,10,11,12,13,14,15,16,17,18,19,21,31
Which of these numbers cannot be a probability? a)-0.00001
b)0.5
c)1.001
e)0
d)1
e) 20%
A and C
To win the Powerball jackpot, you must correctly pick 5 white numbered balls out of 69 in any order, and then you must correctly pick the 1 red numbered ball out of 26. If you buy one ticket, what is the probability you win?
1/292,201,338
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 at least 1 can of soup.
3/5 * 2/4 = 6/20 1-6/20 = 7/10 or 0.7