Describing Likelihood
The school bus arrives late 2/7 of the time. The school bus arrives on time.
Likely
There are 12 cats and 6 dogs at the Humane Society. You randomly choose a pet. How many outcomes are there?
18 outcomes
You have 4 sticks with blue and pink sides. You throw the sticks 20 times and record the results.
Outcome Frequency
3 blue, 1 pink 7
2 blue, 2 pink 9
1 blue, 3 pink 4
What is the experimental probability of tossing 1 pink and 3 blue?
7/20
You flip 3 coins 50 times, and flipping 3 tails occurs 6 times, flipping 3 heads occurs 7 times. What is the theoretical probability that you flip 3 heads?
1/8
Use a tree diagram to find sample space and total number of possible outcomes.
Coin: Quarter, Dime, Nickel, Penny
Card: King, Queen, Jack
12 possible outcomes
The probability that it rains during a hurricane is 1. It rains during a hurricane.
Certain
There are 12 cats and 6 dogs at the Humane Society. You randomly choose a pet. In how many ways can you choose a cat?
12
You have 4 sticks with blue and pink sides. You throw the sticks 20 times and record the results.
Outcome Frequency
3 blue, 1 pink 7
2 blue, 2 pink 9
1 blue, 3 pink 4
What is the experimental probability of tossing the same number of blue and pink?
9/20
You flip 3 coins 50 times, and flipping 3 tails occurs 6 times, flipping 3 heads occurs 7 times. What is the theoretical probability that you flip less than 3 heads?
7/8
Use the FCP (Fundamental Counting Principle) to find the total number of possible outcomes.
Bread: Italian, Wheat
Meat: Ham, Roast Beef, Salami
Cheese: American, Provolone, Swiss
18 possible outcomes
There is an 85% chance that you will go to the concert. You do not go to the concert.
Unlikely
There are 12 cats and 6 dogs at the Humane Society. You randomly choose a pet. In how many ways can you choose a dog?
6
You have 4 sticks with blue and pink sides. You throw the sticks 20 times and record the results.
Outcome Frequency
3 blue, 1 pink 7
2 blue, 2 pink 9
1 blue, 3 pink 4
What is the experimental probability of tossing not tossing 3 pink?
4/5
Each letter of the alphabet is printed on an index card. After removing the cards that spell the word "vowel," what is the theoretical probability of randomly choosing a vowel?
3/21 = 1/7
You flip 4 quarters. What is the probability of flipping 4 heads?
1/16
A store has 30 blue pens, 18 black pens, and 12 red pens in stock. What is the likelihood of randomly choosing a black pen at the store?
Unlikely
There are 12 cats and 6 dogs at the Humane Society. You randomly choose a pet. Describe the likelihood that you choose a dog. Explain your reasoning.
Unlikely, choosing a dog has a probability of 1/3 or 33.3%.
You have 4 sticks with blue and pink sides. You throw the sticks 20 times and record the results.
Outcome Frequency
3 blue, 1 pink 7
2 blue, 2 pink 9
1 blue, 3 pink 4
What is the experimental probability of tossing at most 2 blue?
13/20
There are 12 cats and 8 dogs in the pet store. What is the theoretical probability that a randomly chosen pet is a cat?
12/20 = 3/5
What is the probability of rolling a 6 and flipping heads?
1/12
A store has 30 blue pens, 18 black pens, and 12 red pens in stock. You buy 30 blue pens and 5 red pens. What is the likelihood of randomly choosing a black pen at the store?
Likely
A store has 3 red marbles, 7 blue marbles, 12 green marbles, and 64 black marbles. You randomly choose a marble. How many possible outcomes are there?
86 possible outcomes
You flip 3 coins 50 times, and flipping 3 tails occurs 6 times, flipping 3 heads occurs 7 times. What is the experimental probability that you flip 3 heads?
7/50
There are 12 cats and 8 dogs in the pet store. Two days later, there are half as many cats in the pet store. The theoretical probability that a randomly chosen pet is a cat is half that of two days earlier. How many dogs are in the pet store two days later?
14 dogs
1/24