A weather service says a July day has probability 0.30 of a thunderstorm, and days are independent. What is the probability of thunderstorms on three particular days in a row, as a decimal to three places?

At a school bike rack, the probability a space is open when Mia arrives is 0.40 each morning, independently. What is the probability a space is open on two particular mornings, as a decimal to three places?

A bottling line labels each bottle correctly with probability 0.98, independently. What is the probability that three particular bottles are all labeled correctly, as a decimal to three places?

A seed packet says each seed sprouts with probability 0.20, independently. What is the probability that four particular seeds all sprout, as a decimal to three places?

An app records that a user clicks an ad with probability 0.15 each time, independently. What is the probability the user clicks three particular ads in a row, as a decimal to three places?

A basketball player makes a free throw with probability 0.45 on each attempt, independently. Find the probability of making two particular attempts, as a decimal to three places.

On a four-question quiz, each answer is guessed correctly with probability 0.25, independently. What is the probability that all four guesses are correct, as a decimal to three places?

A car-rental customer buys insurance with probability 0.35, independently of other customers. What is the probability that the next two customers both buy insurance, as a decimal to three places?

A clinic appointment has probability 0.10 of being a no-show, independently. What is the probability that three particular appointments are all no-shows, as a decimal to three places?

A tablet passes inspection with probability 0.95, independently of other tablets. What is the probability that two particular tablets both pass, as a decimal to three places?

A baseball player gets a hit with probability 0.32 in each at-bat, independently. What is the probability of hits in three particular at-bats, as a decimal to three places?

A light bulb has probability 0.05 of failing in its first year, independently of other bulbs. What is the probability that two particular bulbs both fail, as a decimal to three places?

A crate holds 12 apples, 5 of them bruised. Two apples are drawn at random without replacement. Find the probability that both apples are bruised, as a fraction in lowest terms.

A bag has 10 marbles, 3 of them blue. Two marbles are chosen without replacement. What is the probability that both chosen marbles are blue, as a fraction in lowest terms?

A small deck has 20 cards, 6 of them red. Three cards are drawn without replacement. Find the probability that all three cards are red, as a fraction in lowest terms.

A bin holds 15 batteries, 4 of them defective. Two batteries are selected without replacement. What is the probability both selected batteries are defective, as a fraction in lowest terms?

A box contains 9 pens, 5 of them black. Two pens are picked without replacement. Find the probability that both pens are black, as a fraction in lowest terms.

A jar contains 14 buttons, 8 of them round. Two buttons are drawn without replacement. What is the probability both drawn buttons are round, as a fraction in lowest terms?

A cooler has 11 drinks, 4 of them lemon. Two drinks are taken without replacement. Find the probability that both drinks are lemon, as a fraction in lowest terms.

A bowl holds 13 raffle tickets, 3 of them winners. Two tickets are drawn without replacement. What is the probability both tickets are winners, as a fraction in lowest terms?

A shelf has 16 books, 7 of them paperbacks. Two books are chosen without replacement. Find the probability both books are paperbacks, as a fraction in lowest terms.

A farm basket has 18 eggs, 5 of them cracked. Three eggs are inspected without replacement. What is the probability all three are cracked, as a fraction in lowest terms?

In a school survey, $P(\text{walks})=0.30$, $P(\text{band})=0.20$, and $P(\text{both})=0.06$. What statement correctly applies the product rule for independence?

At a clinic, $P(\text{early})=0.50$, $P(\text{reminder})=0.40$, and $P(\text{both})=0.15$. What statement correctly applies the product rule for independence?

Factory records give $P(\text{night shift})=0.45$, $P(\text{machine B})=0.30$, and $P(\text{both})=0.135$. What independence statement is correct by the product rule?

For an app, $P(\text{dark mode})=0.60$, $P(\text{alerts})=0.25$, and $P(\text{both})=0.10$. What statement correctly tests independence?

A cafe tracks orders with $P(\text{tea})=0.40$, $P(\text{muffin})=0.35$, and $P(\text{both})=0.14$. What statement correctly applies the product rule?

On a team, $P(\text{varsity})=0.25$, $P(\text{uses gym})=0.50$, and $P(\text{both})=0.125$. What independence decision follows from the product rule?

Library data show $P(\text{ebook})=0.20$, $P(\text{workshop})=0.30$, and $P(\text{both})=0.04$. What statement correctly tests independence?

A farm records $P(\text{irrigated})=0.70$, $P(\text{high yield})=0.60$, and $P(\text{both})=0.42$. What statement correctly applies the independence rule?

A transit survey has $P(\text{owns bike})=0.55$, $P(\text{takes bus})=0.20$, and $P(\text{both})=0.11$. What product-rule statement is correct?

Warehouse records show $P(\text{heavy})=0.40$, $P(\text{late})=0.30$, and $P(\text{both})=0.18$. What statement correctly tests independence?

A tutor's roster has 9 students, 4 of them seniors. She calls on two different students at random. What product gives the probability that both called students are seniors?

A bag holds 12 tokens, 5 of them green. Two tokens are chosen without replacement. What product models the probability that both tokens are green?

A playlist has 10 songs, 3 of them jazz. Two different songs are played at random. What product gives the probability that both songs are jazz?

A box contains 15 light bulbs, 4 of them dim. Two bulbs are tested without replacement. What product models the probability that both tested bulbs are dim?

A bowl has 8 slips of paper, 6 with a prize printed on them. Two slips are drawn without replacement. What product gives the probability that both slips have prizes?

A cooler holds 14 drinks, 5 of them orange. Three different drinks are handed out at random. What product models the probability that all three drinks are orange?

A committee has 11 members, 7 of them juniors. A president and then a different secretary are selected at random. What product gives the probability that both leaders are juniors?

A carton has 18 eggs, 4 of them brown. Three eggs are chosen without replacement. What product models the probability that all three eggs are brown?