Simple Probability
When rolling a number cube what is the probability of rolling a 2?
1/6
Draw a tree diagram and list the sample space for tossing a nickle and a quarter.
HH, HT, TH, TT
Use the Fundamental Counting Principal to find the total number of outcomes for rolling a number cube and tossing a nickel.
6x2=12
In how many ways can a track coach arrange four runners in a relay race?
4 x 3 x 2 x 1 = 24
What is 15% of 50?
7.5
When rolling a number cube, what is the probability of rolling an even number?
1/2
Draw a tree diagram and list the sample space for choosing a blue, white, or green shirt with khaki or denim pants.
Blue Khaki, Blue Denim, White Khaki, White Denim, Green Khaki, Green Denim.
Use the Fundamental Counting Principal to find the total number of outcomes for choosing a car with exterior color of black, red, green, gray, or tan and choosing a leather or fabric interior.
5x2=10
In how many ways can a group of 6 people stand in a row for a picture?
6 x 5 x 4 x 3 x 2 x 1 = 720
1/4 x 1/5
1/20
A bag of marbles contains 5 blue, 8 red, 4 white, and 3 purple. What is the probability of picking a red one?
2/5
Ham wheat, ham rye, turkey wheat, turkey rye.
Use the Fundamental Counting Principal to find the total number of outcomes for choosing a tuna, turkey, or cheese sandwich, on wheat or white bread with a side of potato chips, corn chips or baked potato.
3x2x3=18
There are 12 swimmers in a swimming race. How many ways can the prizes for 1st, 2nd, and 3rd be awarded?
12 x 11 x 10 = 1320
4/5 x 5/6 Remember to reduce.
2/3
A bag of marbles contains 5 blue, 8 red, 4 white, and 3 purple. Find P(blue or purple).
2/5
Draw a tree diagram and list the sample space for picking a number from 1-4 and choosing the color red, green or yellow.
1 red, 1 green, 1 yellow, 2 red, 2 green, 2 yellow, 3 red, 3 green, 3 yellow, 4 red, 4 green, 4 yellow.
Choosing a card from a deck of cards numbered 10, 11, 12, . . . ., 25 and picking a day of the week.
16 x 7 = 112
Emily has 10 books, but she only has room on her bookshelf for 5 of them. In how many ways can she arrange 5 of the books on her shelf?
10 x 9 x 8 x 7 x 6 = 30240
2x + 5 = 23
9
in a deck of cards labeled 1-24 find P(multiple of 3).
1/3
Draw a tree diagram and list the sample space for Chocolate or vanilla ice cream in a sugar or waffle cone, with rainbow sprinkles, cookie crumbs, or caramel on top.
C S R, C S Co, C S Ca, C W R, C W Co, C W Ca, V S R, V S Co, V S Ca, V W R, V W Co, V W Ca
Use the Fundamental Counting Principal to find the total number of outcomes for picking a day of the week and an hour in the day and a minute in an hour and a second in a minute.
7 x 24 x 60 x 60 = 604800
If there are 8 people lining up for a picture how many ways can they line up?
8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
2x + 7 = 4x + 13
-3