Solve Me!
How many ways can we order a 2 topping pizza if there are seven toppings to chose from?
21
There are 100 people in a meeting. They are to shake hands at the start and end of the session. How many total handshakes will take place? Is this a combination or a permutation?
Combination
Define the compliment of an event in probability:
The compliment of an event in probability is 1 minus the probability of the event.
Identify n and r in the following problem: The coach has 20 spots to fill on the roster and there are 40 boys trying out for football in the fall.
n=40 r=20
If a team has won 2 games, but lost 8, what is the minimum number of games they need to play and win to increase their probability of winning to over 40%?
4
Compute C16,3
560
In the race there will be prizes for first place, second place, and third place to cross the finish line. Is this a permutation or a combination?
Permutation
Define combination:
What is a way of arranging objects or values where order does not matter.
Identify n and r in the following problem: The school board has seven members, the board must have a chairperson, an assistant chairperson, a treasurer, and a secretary.
n=7 r=4
If a team has a history of winning 70% of their games what does that change to if they lose the next 5 games?
67%
Solve P(12,2)
132
A) When does order matter? B) When does order not matter?
A) Permutations B) Combinations
Explain order matters:
What is where each object or value holds a certain place value in an arrangement.
Identify n and r the following Ten band directors at a summer band camp are planning to have their students give a performance. Each band director has 15 students. There will be 3 pieces performed. Each piece will have 5 musicians.
n=150 r=45
The Bobcats have a record of (10, 15) and the Gators have a record of winning 45% of their games. Who is likely to win when the Gators and Bobcats play each other?
The Gators should win.
How many ways can you deal a four card hand from a standard deck if order doesn't matter?
270,725
State the difference in the formula for permutation and combination.
r!
Explain P(A/B):
Probability of A given B. Probability that A will occur given that B has occurred.
Identify n and r in the following problem: How many ways can you deal a five card hand from a standard deck to 3 players?
n=52 r=15
The Huskies have a record of (16, 9) and the Bears have a record of winning 65% of their games. Who is likely to win when the Huskies and Bears play each other?
The Bears are more likely to win.
There are 55 band students going on a fieldtrip, how many ways can the teacher put them in groups of two for the bus ride?
1,485
P(A)=.5 P(B)=.4 find the P(A/B)
.5
Define probability:
What is a way of expressing knowledge or belief that an event will occur or has occurred.
Identify n and r in the following problem: How many possible phone numbers are there if we know the first digit is 4?
n=10 r=6
There are 4 teams in tournament. Team A wins 67% of their games. Team B has a record of (12, 10). Team C loses 40% of their games. Team D has a record of winning 2/3 of their games. Which team is has the highest probability of winning?
The team most likely to win is Team A.