General Rules
Given two events, A and B, what is the probability that event A and B occurs.
What is...
P(A and B) = P(A) * P(B|A)
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 misses the first two swings and then gets a hit on the 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 or queen from a standard deck of cards.
What is...
P(Red or Queen)= P(red)+P(queen) - P(red and queen)
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)
The probability of Nick going to the store is 0.58 and the probability of Nick buying a new video game given that he goes to the store is 0.32. Find the probability of Nick going to the store and buying a new video game.
What is...
0.58 * 0.32 = 0.1856
How do you calculate
P(A and B)
What is...
P(A)*P(B|A)
The rule for finding the probability of a female given that they are an AP stats student.
What is ... P(Female| AP Stats Student)= P(Female AP Stats student)/P(AP Stats student)
Given two events, A and B, what is the probability that event B occurs given that event A occurs?
What is...
P(B|A) = P(A and B) / P(A)
A diagnostic test for a certain disease has 90% accuracy. If 5% of a certain population has the disease, what percent of that population would test positive for the disease? Hint: Make a tree diagram!
What is ...
14% or 0.14
How do you calculate
P(A or B)
what is ...
P(A) + P(B) - P(A and B)
What is the probability of not rolling a 5 on a standard 6 sided-die?
What is ...
P(Not 5) = 5/6
What is ....
1 - P(none)
Two events A and B are mutually exclusive. What is P(A and B)?
What is ...
P(A and B) = 0
contains all of the possible outcomes
what is...
sample space
The probability of not drawing a red ace or a club from a standard deck of card
What is ...
1- P(drawing a red ace) - P(drawing a club)
What is the definition of a given probability? (law of large numbers)
What is ...
If something is done many times the experimental probability will approach the theoretical probability.
What is needed for a simulation to be accurate?
The probability is accurately represented
The complement rule of probability
What are the two important factors in probability?
All probabilities are between 0 & 1