A grocery store manager took inventory of all the fruit to decide what needed to be donated. Of the 8 pieces of fruit deemed "overripe," 6 were apples. If the manager randomly selected 5 of the overripe pieces for the first donation package, what is the probability that all of them are apples? Write your answer as a decimal rounded to four decimal places.

Elizabeth's school is selling 100 raffle-tickets to raise money for a new gymnasium. The grand-prize is a ten-speed mountain bike. Which word or phrase describes the probability that she will win the raffle if she buys all the tickets?

A pet store has 10 puppies, including 4 poodles, 2 terriers, and 4 retrievers. If Rebecka selects one puppy at random, the pet store replaces the puppy with a puppy of the same breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle. Write your answer as a fraction.

If the probability of the Kenmore Hockey Team winning a game is 75%. How many times would youexpect them to win in a 24 game season?

49% of all college students major in STEM (Science, Technology, Engineering, and Math). If 74 college students are randomly selected, find the probability that exactly 38 of them major in STEM. State your answer as a decimal rounded to 4 decimal places.

A steam pipe has three valves. Each valve has a 30% probability of leaking within one year of installation. Write the probability as a percentage rounded to one decimal place? What is the probability that all three valves will leak within one year of installation?

Andrew organised a technology career fair at his college. He did an excellent job recruiting 8 guest speakers, 6 of whom worked in business technology. If Andrew randomly assigns 4 speakers to speak during the afternoon session, what is the probability that all of them work in business technology? Write your answer as a decimal rounded to four decimal places.

Suppose you draw two coins from a bag containing 10 quarters, 8 dimes, 6 nickles, and 4 pennies. Find the probability of selecting a nickle then a penny with replacing. Your answer should be in fraction form.

A card is randomly drawn from a deck of 52 cards. Find the probability of drawing a red card or a Jack.

Solve the following: