Show:
Independent/Dependent Events
Mutually Exclusive/Non-Mutually Exclusive
Expected Value
Factorials
Permutations/ Combinations
100
A. Replaced, Non-Removal B. Not Replaced, Removal
A. What are words associated with independent events? B. What are words associated with dependent events?
100
A. And B. Or
A. The "Intersection" symbol, ∩, means what? B. The "Union" symbol, ∪, means what?
100
EV = P(E) * (Net Value or Value)
What is the formula for expected value?
100
17,280
What is (10-6)!6! ?
100
Permutation
Permutation or Combination: Selecting a lead and an understudy for the upcoming play, "The Nerd."
200
1/36
Find the probability of tossing two fair 6 sided dice and getting a 3 on each one.
200
16/52 = 4/13
I have a deck of cards. What is the probability of pulling a face card (King, Queen, & Jack) or a 10?
200
Some sort of cost.
What causes you to have a net value in an expected value problem?
200
5,040
How many different 7-digit numbers can be formed with the digits 0, 1, 2, 3, 4, 5, and 6 if each digit is used only once?
200
480
What is (5 P 2) (4 P 3)?
300
7/59
A gumball machine has 21 red gumballs, 24 yellow gumballs, and 15 blue gumballs. The gumballs are randomly mixed. What is the probability that the gumball machine dispenses 2 red gumballs in a row?
300
0.8
Let A and B be two events that are mutually exclusive with P(A) = 0.2 and P(B) = 0.6. What is the probability of P(A ∪ B)?
300
26 points
Faith is playing a game at an amusement park. There is a 0.1 probability that she will score 10 points, a 0.2 probability that she will score 20 points, and a 0.7 probability that she will score 30 points. How many points can Faith expect to receive by playing the game?
300
3,628,800
On a ten foot stairway, a little girl places one stuffed animal on each stair. There are ten stairs. How many different orders can she put her stuffed animals?
300
24
Melissa has five textbooks on her shelf. If pre-calculus book must always be in the middle, how many ways can she arrange the books?
400
Because the first paper clip is NOT replaced, the sample space of the second event is changed. The sample space of the first event is 12 paperclips, but the sample space of the second event is now 11 paperclips. The events are dependent. P(red then blue) = P(red) • P(blue) = 3/12 • 5/11 = 15/132 = 5/44.
A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and is NOT replaced. Another paperclip is taken from the drawer. What is the probability that the first paperclip is red and the second paperclip is blue?
400
P(A ∪ B) = P(A) + P(B) - P(A ∩ B) "The probability of A or B equals the probability of A plus the probability of B minus the probability of A and B" "Add our two events, then subtract the overlap between the two events."
What is the formula for Non-Mutually Exclusive Events? What does the formula tell us to do?
400
$1.50
A game is played by rolling a fair 6-sided die once. If the die lands on an even number the player wins $4. If the player lands on 5 the player loses $3, otherwise the player does not gain or lose money. What is the expected value of the game?
400
5,040
How many arrangements can be made from the letters in N-E-T-F-L-I-X?
400
49,945,896
Vance is organizing a trip to go watch the Panther's play. There are enough spots for 10 girls, 10 boys, and 5 adults. How many ways is this possible if 12 girls, 15 boys, and 10 adults sign up to go?
500
2/11
I am organizing my desk. In my pencil holder I have 3 yellow highlighters, 5 red pens, 2 green markers, and 1 orange sharpie. What is the probability of drawing a red pen, then another red pen if the first red pen was NOT replaced?
500
19/52
Let set A be the set of face cards (Kings, Queens, and Jacks) and B be the set of all red cards in a regular deck. Find the P(A ∪ B).
500
$-2.31, not at all!
It cost $3.00 to play Pick-a-card. If you draw a heart or a diamond you win $10. If you draw any other card, you lose $1.00. What is the expected value of this game? Is it to your benefit to play Pick-A-Card?
500
1.055947052 E15
How many arrangements can be made from the letters in the phrase, "P-R-A-C-T-I-C-E M-A-K-E-S P-E-R-F-E-C-T?"
500
471,744,000
Congratulations! You have landed your first job! In order to clock in each day, you have to create an employee ID code that consists of three letters followed by five digits. How many different employee ID codes are possible if neither letter nor digit are repeated?