A shipment contains $7,500$ bolts, with $18\%$ classified as substandard. If a supervisor randomly selects $6$ bolts for testing, what is the probability that none of the selected bolts are substandard? Selections are made without replacement.

A box contains $10$ light bulbs, of which $4$ are defective and $6$ are good. If $3$ bulbs are randomly selected from the box, what is the probability that exactly one is defective?

A mixtape contains $10$ tracks and you enjoy $3$ of them. The player shuffles and plays each track once in a random order. What is the probability that the first two tracks played are both ones you enjoy? Is this outcome unusual at the $0.05$ significance level?

A researcher selects a random sample of $15$ university students and records each student's final exam score as a number out of $100$. Is this a binomial experiment?

In a raffle, $5$ winning tickets are drawn without replacement from a pool of $40$ tickets. A player buys $5$ distinct tickets. What is the probability that exactly $3$ of the player's tickets are winners?