Sample Space and Outcomes
Probability
Two-Way Tables
Probability with Area
Conditional Probability
100
How many possible outcomes are there for flipping a coin and rolling an 8 sided die. LIST THE SAMPLE SPACE.
16 (2*8)
H1, H2, H3, H4, H5, H6, H7, H8, T1, T2, T3, T4, T5, T6, T7, T8
100
What is the theoretical probability of rolling a five or higher on a 6 sided die? Express your answer in simplest form and as a decimal.
2/6 = 1/3 = 0.333
100
What is the difference between a joint frequency and a marginal frequency?
A joint frequency is the individual cell or entry while a marginal frequency is the sum of the rows/columns.
100
A square dartboard is 18in. on a single side. A central circle with radius 3in. is the bullseye. Find the probability of hitting the bullseye. Express your answer as a decimal rounded to the nearest thousandth.
0.087
100
A family has two dogs and two cats. They choose one pet to brush then a different pet to give a treat.
Find P(dog second | cat first). Express your answer as a simplified fraction.
2/3
200
How many outcomes are there when rolling a 6 sided dice and drawing from a 52 card deck?
312 (6*52)
200
There are 36 possible outcomes when rolling two 6 sided dice. What is the probability that the sum is less than or equal to 7? Express your answer in simplest form.
21/36 = 7/12
200
Complete the two way table
37, 120, 44, 96, 60, 210
200
A square dartboard is 18in. on a single side. Inside the dartboard is a rectangle with side lengths of 8in. and 4in. and a triangle with a base of 10in. and a height of 9in.
Find the probability of landing a dart in the rectangle OR the triangle. Express your answer as a decimal rounded to the nearest thousandth.
0.238
200
Using the table, what is the probability that a randomly selected baseball fans favorite food is pizza? Express your answer as a simplified fraction.
1/5
300
You draw two marbles without replacing them from a bag containing 1 red, 1 blue, and 1 yellow marble. List the full sample space using R, B, and Y for the colors AND state the total number of outcomes
RB, RY, BR, BY, YR, YB
6 outcomes
300
You flip two coins 64 times and record exactly two heads on 18 of those trials. What is the experimental probability of exactly two heads? What is the theoretical probability of exactly two heads? Are they the same?
Experimental = 18/64 = 9/32
Theoretical = 16/64 = 1/4
No, they are not the same
300
MAKING TWO WAY TABLES: A student interviewed 75 students at her school to see if they liked reading comic books. Of the 38 males surveyed, 24 liked reading comic books. 31 of the students surveyed were females who did not like reading comic books
300
Find the probability of the shaded region (the shaded circle has a radius of 2). Express your answer as a decimal rounded to the nearest hundreth.
0.25
300
Using the two-way table, find
P(fail | defective). Express your answer as a decimal rounded to the nearest hundreth.
0.92
400
You flip 4 coins. How many outcomes have exactly 1 head? How many possible outcomes are there AND list the possible outcomes.
4 outcomes have exactly 1 head out of 16 possible outcomes
TTTT, HTTT, THTT, TTHT, TTTH, HHTT, HTHT, HTTH, THTH, THHT, TTHH, THHH, HTHH, HHTH, HHHT, HHHH
400
A spinner has 5 equal sections. You spin it 80 times and land on red 21 times, blue 14 times, yellow 18 times, green 16 times, and orange 11 times. What is the experimental probability of each color AND which color (if any) matches the theoretical probability?
Red = 21/80 Blue = 14/80 = 7/40 Yellow = 18/80 = 9/40 Green = 16/80 = 1/5 Orange = 11/80
Green matches the theoretical
400
The two way table shows the survey results for a neighborhood on if they recycle or not. What is the probability that someone randomly selected from the survey is between the ages of 51-65 and recycles?
45/257 = 0.175
400
Find the probability of the shaded region. Express your answer as a decimal rounded to the nearest thousandth.
0.904
400
At school, 70% of students buy a school lunch, 21% buy an energy drink, and 12% buy both. Find P(energy drink | lunch). Express your answer as a decimal rounded to the nearest hundreth.
0.17
500
You roll two 6 sided dice, flip two coins, and draw from two decks of cards. What is the number of possible outcomes?
389,376 possible outcomes
500
A student randomly guesses on four true-false questions. What is the theoretical probability of exactly two correct answers? Then, if a class of 40 students each randomly guess and 12 students get exactly two correct, what is the experimental probability for the class? Express your answer in simplest form.
Theoretical = 3/8 Experimental = 12/40 = 3/10
500
Based on the table, do people ages 21-35 or people ages 36-50 recycle more?
21-35= 56/66 = 0.848 while 36-50= 85/106 =0.801 So 21-35 recycle more.
500
Find the probability of the shaded region (in blue). Express your answer as a decimal rounded to the nearest hundredth.
0.68
500
A university career center tracks students who attend three types of workshops: Resume (R), Interview (I), and Networking (N). Find P(Offer | Resume), P(Offer | Interview), and P(Offer | Networking) round your answers to the nearest thousandth. Which workshop has the highest conditional probability of leading to a job offer?
Resume = 0.456, Interview = 0.481, Networking = 0.479 The interview workshop has the highest conditional probability of leading to a job offer.