Probability (Algebra II)

Counting

100

How many possible outcomes are there when Laura rolls 2 die?

36

200

How many ways are there to arrange the letters of the word SUMMER?

360

300

What is the total number of gender combinations of a family of 4 children?

16

400

In a family of 4 children, what is the probability that they are all girls?

1/16

500

A catalogue offers a jogging suit in 3 colors, grey, pink and black. It comes in sizes S, M, L, XL, XXL and is available with or without a hood. If a jogging suit is selected at random what is the probability it will be medium sized, pink, and with a hood.

1/30

Permutations and Combinations

100

How many ways can 5 basketball players be placed in 3 positions, center, forward and guard?

60

200

DAILY DOUBLE: Nathan needs to choose 2 of the 4 following chores: walk the dog, laudry, clean the kitchen and rake the leaves. What is the probability of walking the dog first and raking the leaves second?

1/12

300

How many groups of 3 kittens are possible in a litter of 6?

20

400

How many ways can 4 friends be seated in a row?

24

500

Mathieu and Joanie are playing a game where Mathieu chose 4 different numbers from 1 to 15. What is the probability Joanie will guess all 4 numbers correctly?

1/1365

Probability with Combinatorics

100

A coin is flipped twice.  Find the probability of at least one tail.

3/4

200

A math quiz has 10 true/false questions.  Find the probability that you randomly guess at the answers you get them all correct.

(1/2)¹⁰ = 1/1024 = .00097

300

You are dealt 5 cards from a deck of 52.  Find the probability that you are dealt all hearts?

₁₃C₅ / ₅₂C₅ = .000495

400

Francis must answer 3 of 5 questions numbered 1 through 5 on a test. What is the probability he will answer questions 2, 3 and 4?

1/10

500

Mathieu and Joanie are playing a game where Mathieu chose 4 different numbers from 1 to 15. What is the probability Joanie will guess at least 3 of the 4 numbers correctly?

0.3%

Mixed Probability

100

The results of spinning a spinner labled A to E are: A 8, B 17, C 9, D 6, E 10. Find the experimental probability of A.

4/25

200

A card is randomly selected from a deck of playing cards.  What is the probability that the card is an Ace or a Spade?

16/52 = 4/13

300

Suppose the probability that a student takes AP Calculus and is on the honor roll is .0035, and the probability that the student is on the honor roll is .23. Find the probability that the student takes AP Calculus given that he or she is on the honor roll.  

.015

400

Two cards are picked from a deck of cards.  Are these events independent or dependent?

Dependent

500

A coin is tossed 5 times, what is the probability that the coin lands on heads at least twice?

.8125

Independent Events

100

A bag containing 6 green, 8 white and 2 blue marbles. Two are randomly drawn. Find the probability of picking green first then blue if the first marble is replaced before drawing a second.

3/64

200

A bag containing 6 green, 8 white and 2 blue marbles. Two are randomly drawn. Find the probability of picking two white if the first marble is not replaced before drawing a second.

7/30

300

A bag containing 6 green, 8 white and 2 blue marbles. Two are randomly drawn. Find the probability of picking blue or white if the first marble is replaced before drawing a second.

.375

400

A bag containing 6 green, 8 white and 2 blue marbles. Two are randomly drawn. Find the probability of picking green or blue first then white if the first marble is replaced before drawing a second.

1/4

500

A box contains 12 solid, 14 stripped, and 10 spotted marbles. Randomly drawing 3 marbles without replacement, what is the probability of choosing a one of each type?

.235