Probability Using Combinations

Choosing three of your classmates to attend your party

• Permutation

• Combination

Jim draws 4 cards from a deck of cards. What is the probability of all 4 cards being the same suit?

• 715

• 6,497,400

• 68,640

• 2,860

There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?

• 5/7

• 1/7

• 2/7

• 1

If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then what is the probability of randomly guessing the password?

• 1/60

• 1/45

• 1/200

• 1/175

What is the probability of choosing 2 female senators if there are 19 female senators out of 100?

• 342

• 1/342

• 171

• 1/171

Tree diagrams are useful because...

• they are cool to draw.

• they show you pictures of the food.

• they show you all possible outcomes.

• they only show you the best choices.

Permutation or Combination: A group of 14 people need to take an elevator to the top floor. They will go in groups of seven. They are deciding who will take the elevator on its second trip.

• permutation

• combination

Permutation or Combination: Jaidee and Amy are planning trips to four countries this year. There are 6 countries they would like to visit. They are deciding which countries to skip.

• permutation

• combination

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

• Permutation

• Counting Principles

• Factorial

• Combination

What is the probability that the committee is made up of 3 women and 1 man?

• 2/91

• 1/20

• 3/16

• 36/91