Fundamental Counting Principle
How many different outfits can be made with 3 pairs of shorts, 4 shirts and 2 pairs of shoes?
24
A box contains 4 blue markers, 8 yellow markers and 6 green markers.
Find the Probability of selecting a green marker.
1/3
6/18 reduces to 1/3
Calculate the combination
6C2
15
You have the following cards:
R1, R2, R3, R4, R5, R6, B1, B2, B3, B4, B5, B6
What is the probability of choosing a Red or an Even?
Overlapping or Exclusive? Answer?
Overlapping (there is a Red Even)
Probability = 3/4 (9/12 reduced)
In a 12 pack there are 5 Potato Chips, 3 Corn Chips and 4 Pretzels.
You choose a bag, eat it, then choose another bag. What is the probability they are both Potato Chips?
5/12 x 4/11 = 20/132 = 5/33
(need to reduce for full points)
How many possible outcomes are there if you roll two dice and flip 2 coins?
144
A box contains 4 blue markers, 8 yellow markers and 6 green markers.
Find the ODDS of selecting a green marker.
1/2
6/12 reduces to 1/2
You have 6 reindeer, Ruby, Red, Rose, Rain, Ramen, and Rob and you want to have 5 fly your sleigh. You want to have your reindeer in a single file line
How many different ways can you arrange the reindeer in a line?
6! = 720
You have the following cards:
R2, R4, R6, B1, B3, B5
What is the probability of choosing a Red or an Odd?
Overlapping or Exclusive? Answer?
Exclusive. There are no Red cards that are Odd.
Probability=1/1 (6/6 reduced)
In a 12 pack there are 5 Potato Chips, 3 Corn Chips and 4 Pretzels.
You choose a bag, put it back, then choose another bag. What is the probability they are both Potato Chips?
5/12 x 5/12 = 25/144
You are choosing a password that has 2 letters followed by 3 digits. How many passwords are possible if letters and digits can be repeated?
676,000
make lines and multiply-> 26 x 26 x 10 x 10 x 10
A box contains 4 blue markers, 8 yellow markers and 6 green markers.
Find the Probability that you will NOT select a BLUE marker.
7/9
14/18 reduces to 7/9
How many ways can you choose 5 sophomore students out of 15 to be in student council?
15C3 = 3,005
Star1, Star2, Star3, Star4, Heart1, Heart3, Heart5
What is the probability that you select a 5 or a star?
Exclusive or Overlapping?
Probability?
Exclusive. There is not a Star that is a 5.
Probability= 5/7
A box contains 4 blue markers, 8 yellow markers and 6 green markers.
Find the Probability of selecting a green marker putting it back, then selecting a blue marker?
Independent or Dependent? Probability?
Independent.
Probability = 6/18 x 4/18 = 24/324 = 2/27
You are choosing a password that has 2 letters followed by 3 digits. How many passwords are possible if letters and digits can NOT be repeated?
468,000
make lines and multiply 26 x 25 x 10 x 9 x 8
A box contains 4 blue markers, 8 yellow markers and 6 green markers.
Find the ODDS AGAINST selecting a YELLOW marker.
5/4
Odds FOR would be 8/10 which reduces to 4/5
Odds AGAINST is the RECIPRICAL = 5/4
Out of 9 runners, how many ways can they come in 1st, 2nd place.
9P2 = 72
Star1, Star2, Star3, Star4, Heart1, Heart3, Heart5
What is the probability that you select a 3 or a star?
Exclusive or Overlapping?
Probability?
Overlapping. There is a 3 that is a Star.
Probability = 5/8
You are rolling a dice and flipping a coin. What is the probability that you roll a 6 and land on heads?
Independent or Dependent?
Probability?
Independent.
1/6 x 1/2 = 1/12
How many ways can you arrange three of the letters in MOUSE ?
60
5 x 4 x 3 or 5P3
A box contains 4 blue markers, 8 yellow markers and 6 green markers.
Find the Probability of selecting a GREEN or BLUE marker.
You order pizza. How many possible 3 topping pizzas can you make if there are 8 toppings to choose from?
8C3 = 56
B1, B2, B3, B4, B5, R1, R2, R3, R4, R5
What is the probability of selecting an Even or a Red?
Overlapping or Exclusive?
Probabiliy?
Overlapping. There is a Red that is an Even.
Probability= 7/10
There is a 20% chance of snow in the area. What is the complement?
80%