They said there would be no math....
Describe the likelihood of the following statement.
It is raining in a desert.
Unlikely
Find the theoretical probability of the event when rolling a 12-sided die.
P(less than 11)
P(less than 11) = 5/6
The probability that a student guesses the correct answer to a four-choice multiple choice question is P(correct)=0.25. How many correct answers should a student expect to guess on a test with 76 four-choice multiple choice questions?
A student should expect to get 19 answers correct.
Create a tree diagram to display the sample space for choosing a vowel, (a, e, i, o, u) and then a number (4, 6, 7, or 9). How many possible outcomes are there?
Teacher checks tree diagram.
There are 20 possible outcomes.
Use the given information to identify the action, the sample space, and the event.
1, 2, 3, 4, 5, 6
Roll the number cube.
Roll a 1.
Action: Roll the number cube
Sample Space: 1, 2, 3, 4, 5, 6
Event: Roll a 1
What probability statement would you add to P(blue) = 7/15 to make a complete probability model for the event choosing a foam ball at random from a box?
P(red) = 8/15
You have one spin of the spinner with outcomes of 2, 4, 6, 8, 12, and 14. What is the sample space for this action? How many outcomes are in the sample space?
The sample space is 2, 4, 6, 8, 12, 14. There are 6 outcomes.
A fair coin is tossed three times in succession. Create a sample space where H represents a head and T represents a tail. Find the probability of getting exactly one head.
Teacher checks sample space.
The probability of getting exactly one head is 3/8.
To meet a deadline, a manager chooses some workers to come in on a Saturday. The table shows the shirts five employees are wearing that day. Identify the outcomes for the following event.
Event: The worker is wearing a striped shirt.
Worker: Shirt
1: White
2: Striped
3: Green
4: Striped
5: Green
Workers 2 & 4
Three friends at a restaurant each order a different flavored fruit drink. The available flavors are mango (M), orange (O), and watermelon (W). Write an organized list using the format (Friend 1, Friend 2, Friend 3) to represent the sample space of the friends' fruit drinks.
(M,O,W) (O,W,M)
(M,W,O) (W,M,O)
(O,M,W) (W,O,M)
A sixth grade class rolls a number cube 75 times. The number cube has sides labeled 1 through 6. The table shows the results. Find the relative frequency for "roll an even number."
Outcome: Frequency
1: 12
2: 15
3: 21
4: 6
5: 18
6: 3
The relative frequency for "roll an even number" is 8/25
A bakery sells rye, white, oat, and multi-grain bread. Each type of bread is available as a round loaf or as dinner rolls. Construct a table to show the sample space for the type and style of bread. Then find the number of possible outcomes.
Teacher checks table.
There are 8 possible outcomes.
The results of a survey of 100 students graduating high school are shown in the table. Find the experimental probability that a student selected at random plans to take a year off before college or has no plans for college.
Response: Number of Students
Go to community college: 25
Go to a 4-year college: 40
Take a year off before college: 11
Go to trade school: 17
Do not plan to go to college: 7
P(year off or no plans) = 9/50
A class is flipping a coin to see what the probability of getting tails is. The class flips a coin 45 times and tails comes up 19 times and heads comes up 26 times. What is the experimental probability of getting tails? What is the theoretical probability of getting tails?
Experimental P(Tails) = 19/45
Theoretical P(Tails) = 1/2
Based on the records for the past several seasons, a sports fan believes the probability the red team wins is 0.55. The fan also believes the probability the blue team wins is 0.60. In a season with 180 games, how many fewer games should the fan expect the red team to win?
The fan of the red team should expect to win 9 fewer games than a fan of the blue team.
Construct a sample space showing the possible outcomes of picking two cards out of five different colored cards, red (R), green (G), blue (B), yellow (Y), and purple (P). Find the probability of picking one purple card and one green card.
P(1 purple & 1 green) = 1/10
A restaurant offers 5 appetizers and 7 main courses. How many ways can a person order a two-course meal?
There are 35 ways a person can order a two-course meal.
Suppose that when the weather conditions are a certain way, it rains 70% of the time. Design a way to assign numbers to possible outcomes to simulate whether it rains on a day when the weather conditions are that way.
Use numbers 1 to 10.
Rain: 1, 2, 3, 4, 5, 6, 7
No Rain: 8, 9, 10
A deck of colored cards has equal numbers of red, orange, yellow, green, and blue cards. A researcher wants to simulate drawing a card at random from the deck and then replacing it. The researcher uses the number 1 to represent drawing a green card and the numbers 2 to 5 to represent drawing card of a different color. The list of random numbers shows outcomes of drawing a card six times. Based on the simulation, how many of the cards drawn were green?
3 2 5 5 1 4
Based on the simulation, 1 out of 6 cards are green.
Draw a tree diagram for choosing a vowel (a, e, i, o, u) and then a number (1 or 2). Use the diagram to find the probability of choosing i and 2.
P(i & 2) = 1/10
In a sporting event, Team A and Team B are evenly matched. A tied game is not possible. Use these numbers to represent the possible outcomes of a game.
6 8 0 8 6 0
6 8 0 2 6 0
6 0 2 2 6 0
6 8 8 6
Team A wins: 0, 1, 2, 3, 4
Team B wins: 5, 6, 7, 8, 9
Which of these lists of random numbers shows a simulated outcome that Team B wins 4 games out of 6 games played?
List 6 8 0 8 6 0 shows an outcome that Team B wins 4 games out of 6 games.
A boy wins a carnival game 40% of the time. He uses random numbers from 0 to 9 to simulate playing the game. The numbers 0–3 represent winning. The numbers 4–9 represent losing. The results below show 10 simulations of playing the game 3 times. How many of these trials simulate the boy winning all 3 games?
2 0 9
0 1 3
3 1 2
2 3 0
3 1 1
3 9 6
5 9 3
3 3 8
8 0 1
6 1 9
The simulations show the boy winning all three games in 4 of the 10 trials.
The sample space shows the result of spinning a numbered (1, 2, 3) wheel once and tossing a coin 38 times. Find the theoretical and experimental probabilities of spinning a three and tossing a tail.
Event: Count
(1,H): 6
(1,T): 12
(2,H): 4
(2,T): 4
(3,H): 8
(3,T): 4
Theoretical P(3,H) = 1/6
Experimental P(3,H) = 2/19
You are going to make a password using 5 of the letters followed by 2 of the digits shown below. Without repeating letters or digits, how many different passwords can you make? How many passwords can you make that begin with the letter G?
K Y Z P G C J
8 1 4 2 5 9
You can make 75,600 passwords.
You can make 10,800 passwords that begin with G.
A basketball player makes 80% of his free throws. The random numbers below represent 20 trials for a simulation. Let the numbers 0 to 7 represent a made free throw and let 8 to 9 represent a missed free throw. Use this simulation to estimate the probability that the player makes both free throws.
(3,0) (8,1) (5,0) (5,6) (0,7) (3,3) (9,6) (2,1) (8,8) (6,5) (9,3) (8,6) (4,9) (3,1) (6,3) (0,1) (6,5) (8,8) (8,8) (5,9)
The experimental probability that the player will make both free throws is 55% or 11/20.