General Rules
(In Probability Notation)
(In Probability Notation)
Given an event, A, what equation gives you the probability that event A will NOT occur?
What is ....
P(A') = 1 - P(A)
or
P(A')+P(A)=1
A coin is tossed 3 times. What is the probability that it lands on heads exactly one time?
What is...
0.125
Events that do not impact each other's probability.
What is...
independent
What is ...
P(rolling three 4s) = P(4)*P(4)*P(4) = P(4)^3
or (1/6)*(1/6)*(1/6)= (1/6)^3
In your dresser are 3 black underwear, 6 white underwear and 1 pair of wonder women underwear. The probability that you pull out your favorite wonder woman underwear to wear today?
What is ...
.1 or 1/10
Given two independent events, A and B, what is the probability that event A and B occurs.
What is...
P(A and B) = P(A) * P(B)
Armando is a high school baseball player. He gets a hit 70% of the time. That means his average is 0.70. What is the probability that he gets his first successful hit on his third swing?
What is ...
0.3*0.3*0.7= 0.063
two events that cannot occur simultaneously
What is....
mutually exclusive or disjoint
The rule for the probability of pulling a red card or the queen of spades from a standard deck of cards.
What is...
P(red card) + P(queen of spades)
13/52 + 1/52 = 14/52
In your dresser are 3 black underwear, 6 white underwear and 1 pair of wonder women underwear. What is the probability that a randomly selected pair of underwear is not black?
What is ... 7/10 or .7
Given two disjoint Events A and B, what is the probability that Event A or Event B occurs?
What is ...
P(A or B)= P(A) + P(B)
The true probability of an event will reveal itself after a large number of trials.
What is... the Law of Large Numbers
two events that cannot occur together, but one must happen
What is...
complementary
You roll a fair dice 3 times. What is the probability that you get at least one number greater than 5?
What is ...
1 - P(not getting a number greater than 5)
1 - (4/6)4
.8025
A state has a 4 digit lottery. What is the probability that today's date will be drawn from the lottery?
What is....
What is ... 1/10000
The difference between an outcome and an event.
What is...
An Event is a collection of outcomes
You roll a fair dice 3 times. What is the probability that you roll all odd numbers.
What is ...
(.5)3 or 1/8 or .125
DAILY DOUBLE!
Any Event where we don't know the outcome
The probability of your birthday being today
What is ...
1/365
A state has a 4 digit lottery. What is the probability that a date that is the 4th of each month is drawn today?
What is ...
(12/10000)
The value measured observed or reported for an individual instance of that trial.
What is ...
an outcome
You roll a fair dice 3 times. What is the probability that you get at least one 5?
What is ...
1 - P(not getting a 5 at all)
1 - (5/6)3 or 1 - .5787 = .4213
contains all of the possible outcomes
what is...
sample space
The rule for finding the probability of 2 or more people from a group of 5 having the same birthday
1- P(none have the same birthday)
P(none have the same birthday)= (365/365) *(364/365) * (363/365) * (362/365) * (361/365)
A state has a 4 digit lottery. What is the probability that none of the dates of this week are drawn this week (7 day week)?
What is ....
(9993/10000)^7