Simple Events
A standard deck has 52 cards. What is the probability of drawing an ace?
1/13 or 4/52
You have 3 shirts and 4 pairs of pants. How many different outfits can you make?
12
There are 6 students. In how many ways can they line up?
You flip a coin twice. Does the result of the first flip affect the second flip?
No, independent
You roll a six-sided die. Are rolling a 2 and rolling a 5 mutually exclusive?
A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of randomly selecting a blue marble?
3/10
A restaurant offers 5 appetizers, 6 entrees, and 3 desserts. How many different 3-course meals are possible?
90
A teacher needs to choose 3 students from 8 to represent the class. Does order matter? What number of ways can they be arranged?
56
You draw a card from a deck, replace it, and then draw another card. Are the events independent or dependent?
Independent
You roll a die. What is the probability of rolling a 2 or a 5?
1/6 + 1/6 = 2/6 = 1/3
A number from 1–20 is selected at random. What is the probability of selecting a multiple of 3?
6/20 or 3/10
A student chooses a school shirt from 4 colors, shorts from 5 colors, and shoes from 3 styles. How many combos are possible?
60
A coach has 10 players and needs to select 5 players to start. How many different groups can be selected?
252
You pull an m&m out of a bag, then eat it, and choose another.
Dependent
A card is drawn from a standard deck. What is the probability of drawing a king or a queen?
4/52 + 4/52 = 8/52 = 2/13
A standard deck of cards is shuffled. What is the probability of drawing a face card?
12/52 or 3/13
A security code consists of 2 letters followed by 3 digits. Letters and digits may repeat. How many codes are possible?
676,000
A coach has 10 players. She must choose a captain, co-captain, and manager. How many possibilities are there?
720
A bag contains 5 red and 5 blue marbles. Find the probability: You select a red marble and do not replace it. Then you select another red marble.
5/10 * 4/9 = 2/9
A number from 1–10 is selected. Are these events mutually exclusive?
No
What is the probability of choosing a an even number or a number divisible by 3 in a in a list of 1-10?
7/10
A school is creating a 4-digit locker code using the digits 1–9. No digit can be repeated.
How many different locker codes are possible?
3,024
A school has 20 students who are finalists for 3 different awards:
No student can win more than one award.
How many different ways can the 3 awards be given?
6,840
A student randomly guesses on two multiple-choice questions, each with 4 answer choices, then a true/false question. What is the probability that the student gets all 3 questions correct?
1/32
A class has 30 students.
What is the probability that a randomly selected student plays basketball or soccer?
12/30 + 10/30 - 4/30 = 18/30 = 3/5