Lesson Worksheet: Using Combinations to Find Probability Mathematics • 12th Grade
In this worksheet, we will practice finding the probability of an event by calculating the number of outcomes using combinations.
Q3:
A team of four is to be randomly selected from a group of ten boys and ten girls. Determine the probability that a team will contain only girls.
- A
- B
- C
- D
- E
Q4:
A computer generates four-digit codes using the numbers 0–9 with no repeated digits. How many unique codes can be generated?
Q5:
Which of the following represents the number of ways of selecting 2 students out of 24 for a class activity?
- A
- B
- C
- D
Q6:
A small combination padlock can be opened by entering three different specified numbers from 1 to 9 in any order. Noah has 10 attempts to guess the combination. Determine the probability of him opening the lock.
- A
- B
- C
- D
- E
Q7:
In how many different ways can 10 motorcycles and 9 bicycles be arranged in 2 spaces if the order is not important?
Q8:
Which of the following represents the number of ways in which the letters of the word “zebra” can be rearranged?
- A
- B
- C
- D
Q9:
Which of the following represents the number of ways in which 8 different digits can be rearranged to form an 8-digit number?
- A
- B
- C
- D
Q10:
Madison has two red cards and three blue ones. She shuffles the cards, places them face down in a row, and turns them over. What is the probability that the cards are laid out in alternate colors?
- A
- B
- C
- D1
- E