Counting Principle |
#1 |
Ben has 10 shirts and 5 pairs of pants. How many different outfits can Ben have? |
50 |
#2 |
How many different combinations are possible from 8 pen colors and 12 different colored notepads? |
96 |
#3 |
How many different cars can you get from 5 models, 3 colors, and 4 different engines? |
60 |
#4 |
There is a school lunch special where you can pay $5 for a sandwich, a drink, and a snack. There are 5 different sandwiches, 4 different drinks, and 4 different snacks. How many different combinations of sandwich, drink, and snack can you have? |
80 |
#5 |
The hardware store sells both wood and metal screws in 3 different head widths and 3 different shank lengths. How many different screws are available? |
18 |
Combinations and Permutations |
#1 |
A child asks a pet store owner for any 2 pet mice from a cage containing 15. How many different pairs of mice are possible? |
Combination |
#2 |
In how many different orders can you play 4 cds? |
24 |
#3 |
You have six choices of sandwich fillings. How many different sandwiches could you make by choosing two of the six fillings? |
Combination |
#4 |
6 people walk into a fast food restaurant at the same time. How many different ways can the first 3 be served? |
120 |
#5 |
In a class of 18, how many different ways can the class elect a president, vice president, treasurer, and secretary? |
73440 |
Independent and Depnendent Events |
#1 |
You roll a die two times. Find P(even, then 1) |
1/12 |
#2 |
You spin a spinner with four even parts(blue, red, green, yellow) and draw a card. Find P(blue, then Ace). |
1/52 |
#3 |
You pick a marble from a bag containing 1 green marble, 4 red marbles, 2 yellow marbles, and 3 black marbles. You replace the first marble and then select a second one. Find P(yellow, then black). |
3/50 |
#4 |
Seven girls and five boys volunteer to represent their class at a school assembly. The teacher selects one name and then another from a bag containing the twelve students’ names. Find P(2 girls). |
7/22 |
#5 |
A box contains 5 green marbles, 5 blue marbles, and 3 orange marbles. You draw one marble, do not replace it and then draw another marble. Find P(green, then blue). |
15/91 |