General Rules
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
Events that do not impact each other's probability.
independent
The rule for finding the probability of rolling a fair die three times and getting three fours.
P(rolling three 4s) = P(4)*P(4)*P(4) = P(4)^3
or (1/6)*(1/6)*(1/6)= (1/6)^3
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)
two events that cannot occur simultaneously
mutually exclusive
A coin is tossed 3 times. What is the probability that it lands on heads exactly one time?
What is...
0.375
Given two mutually exclusive 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)
contains all of the possible outcomes
sample space
The rule for finding the probability of a female given that they are an AP stats student.
P(Female| AP Stats Student)= P(Female AP Stats student)/P(AP Stats student)
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 together, but one must happen
complementary
The rule for the probability of pulling a red or queen from a standard deck of cards.
P(Red or Queen)= P(red)+P(queen) - P(red and queen)