Probability, Combinations, Permutations

Determine if the scenario is an example of dependent OR independent events. Then find the probability:

Probability of flipping a coin and getting tails and rolling a multiple of 5 on a number cube.

• dependent events; 1/12

• dependent events; 1/4

• independent events; 1/12

• independent events; 1/6

Determine if the scenario is an example of dependent OR independent events. Then find the probability:

A hamper contains 11 purple shirts, 4 gold shirts and 5 white shirts. Shirts are picked at random and not replaced. What is the probability of picking 2 gold shirts?

• dependent events; 3/95

• dependent events; 1/25

• independent events; 3/95

• independent events; 1/25

Five Below has a new shipment of iPhone chargers. In a box of 40 chargers, 9 are defective. The probability (as a percent) of picking a charger that is not defective is ____%

What is the probability (as a fraction) of landing in the blue region?

Mathematical Equivalence

ON

Determine if the scenario is an example of a combination OR permutation. Then answer the question:

Five finalists make it to the UIL informative speaking contest. How many different ways can the top three finalists be awarded?

• combination; 10

• combination; 60

• permutation; 10

• permutation; 60

Determine if the scenario is an example of a combination OR permutation. Then answer the question:

Ms. Weimar & Mrs. Collins-Heng kept a total of 13 house projects, but the display case in the cafeteria only has space for 10 of them. How many different ways are there to display the projects in the cafeteria?

• combination; 286

• combination; 1,037,836,800

• permutation; 1,037,836,800

• permutation; 286

There are 15 players on the Jersey Village girls' varsity 🏀 team. Three players are chosen for first team all-district. How many different ways can this be done?

Adidas sells their Superstars in 12 different styles. Each of these styles come in 10 sizes and 9 colors. If one store has every possible combination, how many pairs of Superstars must be in stock? (Hint: TWO combinations are involved.)

• 12,960

• 1080

• Too many!

• 14,520

How many different ways are there to arrange 11 cars in a garage?

The code for a lock consists of 5 characters. The first three characters must be letters. The last two characters must be any number except 1 or 7. How many different codes can there be if repetition is allowed?

• 346,112

• 676,000

• 1,124,864

• 1,757,600