Probability of Simple Events
Theoretical and Experimental Probability
Probability of Compound Events
Fundamental Counting Principle and Permutations
Independent and Dependent Events
100
Find the probability of rolling a 2 on a dice. Write the answer as a fraction, decimal, and percent.
What is 1/6, 0.17, 17%.
100
What is the theoretical probability of tossing a coin and landing on tails?
What is 1/2.
100
How do tree diagrams help you find the probability of a compound event?
What is they help you visualize and organize the total number of outcomes.
100
Use the Fundamental Counting Principle to find the number of outcomes from tossing a coin and rolling a number cube.
What is 2 x 6 = 12
100
A penny is tossed and a number cube is rolled. Find the probability that the coin will land on tails and the cube will land on 3. P(tails and 3)
What is 1/2 x 1/6 = 1/12
200
Find the probability of not rolling a 4. Write the answer as a fraction, decimal, and percent.
What is 5/6, 0.83, 83%.
200
What is the theoretical probability that a number cube is rolled and it lands on an odd number?
What is 3/6 = 1/2.
200
Michael tosses two coins. Find the sample space of all possible outcomes.
What is HH, HT, TH, TT - 4 possible outcomes.
200
Find the value of P(7,4).
What is 7 x 6 x 5 x 4 = 840
200
A game requires players to roll two number cubes to move the game pieces. What is the probability of rolling a 2 or 4 on the first number cube and then rolling a 5 on the second?
What is 2/6 x 1/6 = 2/36 = 1/18
300
A letter tile is chosen randomly from the letters I, V, S, D, I , E, I L, B. Find the probability of choosing an S, V, OR L. Write your answer as a fraction, decimal, and percent.
What is 3/9 = 1/3, 0.33, 33%
300
A coin is tossed 50 times, and it lands on heads 28 times. Find the experimental probability and the theoretical probability of the coin landing on heads. Then, compare the experimental and theoretical probabilities.
What is experimental - 28/50 = 14/25 and theoretical - 1/2. The experimental probability (56%) is close to the theoretical probability (50%).
300
A pair of brown or black sandals are available in sizes 7, 8, or 9. Draw the sample space to find the total possible outcomes.
What is B7 B8 B9 BL7 BL8 BL9 - 6 possible outcomes.
300
Use the Fundamental Counting Principle to find the total number of outcomes when picking a month of the year and a day of the week.
What is 12 x 7 = 84
300
A carnival game wheel has 12 equal sections. One of the sections contains a star. To win a prize, players must land on the section with the star on two consecutive spins. What is the probability of a player winning?
What is 1/12 x 1/12 = 1/144
400
Mr. Brennan surveyed his class and discovered that 30% of his students have blue eyes. Identify the complement of this event and find its probability.
What is does not have blue eyes and 70%.
400
Yesterday, 50 bakery customers bought muffins and 11 of those customers bought banana muffins. If 100 customers buy muffins tomorrow, how many would you expect to buy a banana muffin?
What is 22 people.
400
Jonathon picks a number 1 through 5 and chooses the color red, white, or blue. How many possible outcomes can she have? Draw the sample space.
What is 1R 1W 1B 2R 2W 2B 3R 3W 3B 4R 4W 4B 5R 5W 5B - 15 possible outcomes.
400
A garage code has 5 digits (0-9). If no digit can be repeated, how many codes are possible?
What is 10 x 9 x 8 x 7 x 6 = 30,240
400
Cards labeled 5, 6, 7, 8 and 9 are in a stack. A card is drawn and not replaced. Then, a second card is drawn at random. Find the probability of drawing two even numbers.
What is 2/5 x 1/4 = 2/20 = 1/10
500
Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of drawing a card that is divisible by 3. Write your answer as a fraction, decimal and percent.
What is 3/10, 0.30, 30%.
500
Last month, customers at a gift shop bought 40 birthday cards, 19 congratulations cards, 20 holiday cards, and 21 thank you cards. Suppose 125 customers buy greeting cards next month. How many would you expect to buy a birthday card?
What is 50 customers.
500
How many different combinations can you make from the following menu: Appetizers: Soup or Salad Entrees: Steak or Chicken Desserts: Carrot Cake or Apple Pie Find the sample space.
What is SSC SSA SCC SCA SaSC SaSA SaCC SaCA - 8 possible outcomes.
500
Find the number of different outfits that can be made from 3 sweaters, 4 blouses, and 6 skirts. Then find the probability of randomly selecting a particular sweater-blouse-skirt outfit. Is the probability of this event likely or unlikely?
What is 72, 1/72 (1.4%), unlikely
500
Mrs. Ameldo's class has 5 students with blue eyes, 7 with brown eyes, 4 with hazel eyes, and 4 with green eyes. Two students are selected at random. Find the probability that a student with green eyes is picked first and then a student with brown eyes. P(green then blue)
What is 4/20 x 7/19 = 28/380 = 7/95