Outcomes
How many possible outcomes are there when you flip a coin? What are they?
2 possible outcomes, heads or tails
Write down Bayes' Theorem
P(A | B) = P(B | A) * P(A) / P(B)
What is the name of Mr. Burgess' pet dog?
Perry
What is the formula for determining the number of permutations if repeats are not allowed?
n! / (n - r)!
What is 5! equal to?
120
How many possible outcomes are there when you flip a coin AND draw a card from a 52-card deck (don't list them all, we're just looking for the number)
104 (each card is paired with heads or tails)
We want to find the probability of drawing a spade from a 52-card deck given that you’re drawing a red card.
Identify Events A and B
A is drawing a spade
B is drawing a red card
Ms. Almaguer's best friend (besides Mr. Bryant) is from which South American country?
Ecuador
What is the formula for determining the number of combinations if repeats are not allowed?
n! / r! (n - r)!
a) 5 / 16 divided by 6 / 12
b) 5 / 16 plus 6 / 12
a) 5/16 times 12/6 = 60/96
b) 15/48 plus 24/48 = 39/48
What is the probability of rolling a total of exactly 8 when you roll two six-sided dice?
5/36
We want to find the probability of drawing a spade from a 52-card deck given that you’re drawing a black card.
Find the probability of A
Find the probability of B
What year was the city of Chicago founded?
1837
What is the difference between combinations and permutations?
The order of our items matters for permutations, but order does not matter for combinations
How many permutations do we have if we try to arrange 4 students from a class of 19 in a line at the front of class?
93,204
What is the probability of getting an even number when you roll a single six-sided die AND drawing a red card from a 52-card deck?
(3/6) * (26/52) = 78 / 312
We want to find the probability of drawing a spade from a 52-card deck given that you’re drawing a red card.
Find the probability of B | A
0
What year did the Chicago Bears win their only Super Bowl?
1985 (1986 also acceptable)
How many ways can we pick three different students from a class of 20 to help Ms. Almaguer pass out materials for an activity?
1140
What is the probability of getting a total of AT LEAST 10 when you roll two dice?
(3 / 36) + (2 / 36) + (1 / 36) = 6/36
What is the probability of drawing a spade OR a card with an even number from a 52 card deck?
(13 / 52) + (20 / 52) = (33 / 52)
Consider the set of numbers: {1, 2, 3, 4, 5, 6, 7, 8}
What is the probability of picking an odd number given that you pick a number below 6?
P(both) / P(B) = (3/8) / (5/8) = 3/5
How much money do Americans spend on their pets annually?
72 billion dollars
Mr. Burgess is adding some art to his walls at home. He is interested in 10 paintings and wants to buy 3 of them to place left to right above his TV. How many ways can he arrange 3 paintings from that group of 10?
720
Kelly is a very good student. The probability she studies and passes her math test is 17/20. The probability she studies is 15/16. What is the probability she passes her test, given that she studies?
272/300