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
What year was KPS founded?
What is ...
1894
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)
A coin is tossed 3 times. What is the probability that it lands on heads exactly one time?
What is...
0.375
two events that cannot occur simultaneously
What is....
mutually exclusive or disjoint
Find the probability of rolling a fair die three times and getting three fours.
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
What is the name of the KPS mascot?
What is ...
Chumley
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)
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
Events that do not impact each other's probability.
What is...
independent
Find 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)
(1/2) + (1/13) - (2/52) = 0.5385
What did Mr. Wertz study in college during undergrad? Major and minor?
What is....
Major in Mathematics
Minor in Cinema Studies
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)
The two equations used to determine independence between 2 events.
What is...
P(A|B)=P(A)
or
P(B|A)=P(B)
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)
1 - (2/52) - (1/4) = 0.7115
How many teachers are in the upper school mathematics department?
What is ...
7 teachers
Given two 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) - P(A and B)
or
P(A or B)= P(A) + P(B) - P(A)*P(B|A)
90% of the people who have a particular disease will have a positive result on a given diagnostic test (90% accuracy). If 5% of a certain population has the disease, what percent of that population would test positive for the disease?
What is ...
14% or 0.14
The rule for finding the probability of 2 or more people from a group of 5 having the same birthday
What is ...
1- P(none have the same birthday)
P(none have the same birthday)= (365/365) *(364/365) * (363/365) * (362/365) * (361/365)
What is the name of the KPS yearbook?
What is ....
Cargoes