A student guesses on independent quiz items, with probability $0.20$ of getting each item correct. Find the probability that the first correct answer is on item 5, as a decimal to three places.

Each independent seed a farm plants sprouts with probability $0.70$. Find the probability that the first sprouting seed is the third seed checked, as a decimal to three places.

A website login works on each independent try with probability $0.40$. What is the probability that the first successful login is on try 4, rounded to three decimals?

A free-throw shooter makes each independent shot with probability $0.75$. Find the probability that the first made shot occurs on shot 2, as a decimal to three places.

A clinic reaches a patient on each independent call with probability $0.35$. Find the probability that the first reached patient is on call 6, rounded to three decimals.

Each independent quality check finds a cracked tile with probability $0.12$. What is the probability that the first cracked tile is found on check 3, to three decimals?

A bus arrives on time on each independent school day with probability $0.90$. Find the probability that the first on-time arrival this week is on day 4, rounded to three decimals.

A donor agrees to give blood on each independent contact with probability $0.18$. Find the probability that the first agreement comes on contact 7, as a decimal to three places.

A machine stamps a label correctly with probability $0.96$ on each independent try. To one decimal place, what is the expected number of tries until the first correct label?

A lab test detects a marker in each independent sample with probability $0.05$. To one decimal place, what is the expected number of samples tested until the first detection?

A basketball player makes each independent three-point shot with probability $0.32$. To one decimal place, find the expected number of shots until the first make.

A cashier finds a coupon in each independent receipt with probability $0.08$. To one decimal place, what is the expected number of receipts checked until the first coupon appears?

A volunteer gets a survey response from each independent text message with probability $0.25$. To one decimal place, find the expected number of messages until the first response.

A goalie records the number of penalty kicks faced until the first save, where each kick is independent and has probability $0.28$ of being saved. Decide which distribution models the count.

A cafeteria tracks how many milk cartons are opened until the first spoiled carton is found; each carton is independent with probability $0.03$ of being spoiled. Which model fits this count?

A coach counts independent serves until a player lands the first serve in bounds, with probability $0.65$ on each serve. Name the distribution for that count.

A game designer counts independent spins until the first bonus space appears, with probability $0.10$ on each spin. Choose the distribution that models the number of spins.

A technician records the number of independent password attempts until the first accepted attempt, with success probability $0.15$ each time. What distribution models the recorded number?

A wildlife researcher counts independent camera-night checks until the first fox photo appears; each check has probability $0.22$ of showing a fox. Decide the distribution for the count.

A teacher counts independent student presentations until the first presentation using a graph, with probability $0.40$ for each presentation. Which distribution models that count?