One Event Probability
What is the probability I select a female?
31/80
I have 4 blue marbles and 3 green marbles. What is the probability I select a green marble and a blue marble (without replacement)?
12/42
What is the probability a student is studying French given they are male?
16/41
The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 12 members, how many ways could the officers be chosen?
1320
The Bagel Factory offers 12 different kinds of bagels and 4 types of cream cheese. How many possible combinations of bagels and cream cheese are there?
48
What is the probability I select a student who is a female studying German OR a male studying Spanish?
19/80
I have 4 blue marbles and 3 green marbles. What is the probability I select a green marble and a green marble (with replacement)?
16/49
What is the probability a student is male given they are studying German?
17/28
A pizza shop has available toppings of bacon, sausage, olives, onions, mushrooms, pepperoni, anchovies, and peppers. How many different ways can a pizza be made with 3 toppings?
56
suppose a bakery has a selection of 20 different cupcakes, 10 different donuts, and 15 different muffins — how many different orders are there?
3000
What is the probability I chose a student who is studying German and is male?
17/80
What is the probability I select a student a female who studies German and then a male who studies Spanish? (with replacement)
88/6400
What is the probability a student is male given they are studying Spanish?
8/21
A lock has a code of 5 numbers from 1 to 25. If no numbers in the code are allowed to repeat, how many different codes could be made?
6375600
Suppose a production line requires six workers to carry out six different jobs. How many ways can we assign workers spots for jobs?
720
What is the probability I chose a student that is female OR studying French?
55/80
What is the probability I select a male and then a female? (no replacement)
1599/6320
What is the probability a student is studying French or German given they are female?
16/39
The principal would like to assemble a committee of 9 students from the 13-member student council. How many different committees can be chosen?
715
How many different passwords can I make with 4 letters and 3 numbers? (0-9) (no repeats)
258336000
What do you have to check for when you have the word OR?
THE OVERLAP
What should I do when I have multiple probabilities?
multiply!
What is the probability a student is studying German or Spanish given they are male?
25/41
What is the main difference between a combination & a permutation?
combination - order does not matter
permutation - order matters
How do I solve a fundamental counting principle problem?
multiply all the groups together