A student flips a fair coin and rolls a fair six-sided die. What is the probability of getting heads and an even number, as a fraction in lowest terms?

A school code uses one letter from A, B, or C and one digit from 1, 2, 3, or 4. How many outcomes are in the sample space?

Two fair six-sided dice are rolled and the two numbers are added. What is the probability that the sum is 9, as a fraction in lowest terms?

A craft station offers 4 card colors and 3 sticker shapes. If one card color and one sticker shape are chosen at random, what is the probability of a purple card with a star sticker?

A spinner has 5 equal sections, 2 of them green. In 50 spins, it lands on green 24 times. By how much does the experimental probability exceed the theoretical probability?

A fair number cube is rolled 72 times and lands on a number greater than 4 a total of 18 times. By how much is the experimental probability below the theoretical probability, to three decimals?

A spinner has 8 equal sections, 1 of them blue. In 200 spins, it lands on blue 30 times. By how much does the experimental probability exceed the theoretical probability?

On an assembly line, each bolt is flawed with probability 0.05, independently of the others. What is the probability that at least one of 4 bolts is flawed, to three decimals?

Each seedling in a greenhouse fails with probability 0.10, independently of the others. What is the probability that none of 6 seedlings fail, to three decimals?

A city bus is on time on 82% of school days. What is the probability that the bus is not on time on a randomly chosen school day?

A fire alarm inspection is missed with probability 0.15 each month, independently of other months. What is the probability at least one of the next 4 inspections is missed, to three decimals?

In a class of 36 students, 20 play soccer, 15 act in theater, and 8 do both. What is the probability that a randomly chosen student plays soccer or acts in theater?

At a farmers market, 46 of 100 visitors bought fruit, 38 bought vegetables, and 20 bought both. What is the probability a visitor bought fruit or vegetables?

At a library survey of 50 students, 22 checked out fiction, 18 checked out nonfiction, and 10 checked out both. What is the probability a student checked out fiction or nonfiction?

For two events at a school fair, $P(A)=0.55$, $P(B)=0.30$, and $P(A\text{ and }B)=0.10$. What is $P(A\text{ or }B)$?

The Venn diagram shows an activities survey of 80 students. How many students are in neither debate nor band?

The Venn diagram shows a club survey of 50 students with circle totals for robotics and choir. How many students are in both clubs?

The three-circle Venn diagram shows club choices for 40 students. How many students chose exactly one of the three clubs?

A student must pass a vision check with probability 0.90 and a hearing check with probability 0.80. If the checks are independent, what is the probability of passing both, to three decimals?

At a clinic, $P(A)=0.60$, $P(B)=0.25$, and $P(A\text{ and }B)=0.15$. Are events A and B independent?

For two survey events, $P(A)=0.40$, $P(B)=0.50$, and $P(A\text{ and }B)=0.30$. Are A and B independent?

A stack has 4 blue cards and 6 red cards. A card is drawn, replaced, and another card is drawn. What is the probability both cards are blue, to three decimals?

At a clinic, 18% of patients both have an allergy and test positive, 24% have the allergy, and 30% test positive. Given a patient has the allergy, what is the probability of testing positive?

In a school survey, 25% of students ride the bus and are in band, 40% ride the bus, and 50% are in band. Given that a student is in band, what is the probability the student rides the bus?

In a senior survey, 14% of students take both art and physics, 35% take physics, and 28% take art. Given that a student takes physics, what is the probability the student takes art?

For a store website, 12% of visitors use mobile and make a purchase, 40% use mobile, and 20% make a purchase. Given mobile use, what is the purchase probability?

Use the two-way table of 100 cafe orders by drink and size. Given that an order was coffee, what is the probability it was large?

Use the two-way table of 80 students by grade and transportation. Given that a student is in grade 10, what is the probability the student rides the bus, to two decimals?

Use the two-way table of animal adoptions by animal type and age. Given that the adopted animal was a dog, what is the probability it was under 1 year old?

The tree diagram shows supplier and defect status for factory parts. What is the probability a randomly chosen part is defective, to three decimals?

The tree diagram shows how students commute and whether they arrive on time. What is the probability a student bikes and arrives on time, to three decimals?

The tree diagram shows one raffle outcome branch labeled prize = 0.18 and a missing no-prize branch. What probability belongs on the no-prize branch?

A uniform station offers 5 shirt colors, 4 pants colors, and 3 shoe colors. How many outfits are possible if one choice is made from each category?

A five-question true/false quiz has 2 choices for each question. How many different answer strings are possible?

A robotics kit can be built with 4 body colors, 3 wheel types, 2 sensor packages, and 2 battery sizes. How many different robots are possible?

Eight runners finish a race. How many ways can gold, silver, and bronze medals be awarded if no runner can receive more than one medal?

A club of 10 students chooses a 3-person committee with no roles attached. How many different committees are possible?

A teacher chooses 4 of 7 different books and arranges them in order on a display shelf. How many ordered displays are possible?

In a survey, 65% of students prefer online review. Using random digits 00 to 99 to simulate one student, which rule models online review?

A basketball player makes 70% of free throws. Using digits 0 to 9 to simulate one shot, which rule models a made free throw?