Probability & Combinatorics Test Review

You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows a four.

• Independent

• Dependent

A box of chocolates contains five milk chocolates and four dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another piece. Both pieces are milk chocolate.

• Independent

• Dependent

There are four nickels and five dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.

• Independent

• Dependent

A basket contains four apples and four peaches. You randomly select a piece of fruit and then return it to the basket. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach.

• Independent

• Dependent

A group of 24 people need to take an elevator to the top floor. They will go in groups of eight. They are deciding who will take the elevator on its second trip.

• Permutation

• Combination

A group of 35 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

• Permutation

• Combination

Castel and Dan are planning trips to four countries this year. There are 8 countries they would like to visit. One trip will be one week long, another two days, another two weeks, and the other a month.

• Permutation

• Combination

You are setting the combination on a four-digit lock. You want to use the numbers 1234 but don't care what order they are in.

• Permutation

• Combination

A team of 16 field hockey players needs to choose two players to refill the water cooler.

• Permutation

• Combination

There are 10 applicants for two Manager positions.

• Permutation

• Combination