Probability
A coin is flipped, then a second coin is flipped. What is the probability that you will land on tails twice?
1/4
If you roll a 6-sided number cube twice, what is the sample space of all outcomes for the two dice rolls?
36
Does it matter which options you list across the top in a table versus down the side?
NO! You will get the same answers either way
What row do you look in to find the total number of options (sample space)?
The last row
Pick a number 1-5, then pick a number 6-10. What is the probability that you would pick a 5 then a 10?
1/25
What is the probability of choosing hearts from a deck of cards AND choosing an even number (at the same time).
5/13
What is the sample space for the problem below:
You want to go on vacation to either California, Texas, or New York. You can get there via car, plane, or train.
9
When you row two dice, what is the probability of getting an even number on the first roll and an odd number on the second roll?
1/4
How many total meal options does a restaurant have that serves: hamburgers sandwiches, fajitas, and quiche as a main meal, and soup, salad, or bread as a side?
15
For a science experiment, you can choose either red, yellow, or green dye. You can also choose to use solids, liquids or gas in your experiment. Here is the sample space of possible options to choose:
Solid: red, yellow, green
Liquid: red, yellow, green
Gas: red, yellow, green
If chosen at random, what is the probability that someone will do a science experiment with gas and red or yellow dye?
2/9
A bag has 1 red marble, 1 blue marble and 1 yellow marble. If you pick a marble, put it back, then pick another marble, what is the probability that only one of the marbles picked is red (not both)?
4/9
Design an outfit by picking clothes at random. You have 4 shirt choices and 3 pant choices. How many possible outfits can you make with that combination?
12
Is there ever a time where your table should be "solved" instead of just listed?
YES! If they are doing any math operation in the problem, you should solve instead of list.
How many total branches would you start with if you wanted to know the total meal options at a restaurant that served: hamburgers sandwiches, fajitas, and quiche as a main meal, and soup, salad, or bread as a side.
5
What is the probability of choosing red or blue and rolling an even number if you are choosing from 3 color options: red, blue, and green and rolling one number cube one time.
1/3
What is the probability of two people meeting and BOTH of their names starting with the same letter of the alphabet?
1/676
In a game, you spin a spinner with 5 colors. Then you pick a number from a deck of cards 1-4. What is the sample space of all of the possible outcomes in the game?
20
Create a table displaying the sample space of the compound event:
An ice cream shop has 3 flavors of ice cream: vanilla, chocolate, and strawberry. They also have 4 topping choices: hot fudge, caramel, sprinkles, and whipped cream. How many options of ice cream with one topping are available at the shop?
12
True or false
When finding the sample space in a tree diagram you count ALL of the branches in EACH row.
FALSE - only count the last row
First you flip a coin, then you pick a number 1-3. What is the probability that you will flip heads on a coin and pick the number 2 or 3?
1/3
A restaurant serves a choose a meal and side deal for $9.99. The meal choices are salmon, a cheeseburger, steak, and lasagna. The side choices are potatoes, house salad or a cup of soup. If a meal and side are chosen at random, what are the chances that you would get a steak and potatoes?
1/12
In a game you pick a card 1-10. Then, you flip a coin to land on heads or tails. List the sample space. How many options are in the sample space?
20
Will a tree diagram, table, and list always have the same amount of answers?
YES! That is your sample space.
How many total branches would come from each of your first options if you wanted to know the total meal options at a restaurant that served: hamburgers sandwiches, fajitas, and quiche as a main meal, and soup, salad, or bread as a side.
3
What is the probability of it being a day of the week that starts with an S and a Month that starts with a J.
6/84 or 1/14