1. Mr. Grasley has 20 probability questions. He will randomly assign a question to each of the 20 students in the class. If you know how to answer 18 of those questions, what is the probability that Mr. Grasley assigns you a question you can't answer? [1]

1. 15 teachers volunteer to mentor the new SHCVS Magic: The Gathering club. If Mrs. Marrelli chooses two teacher mentors at random, what is the probability that Mr. Grasley WON'T be a mentor (crushing his dreams)? [3]

In a school of 1000 students, what is the probability that no one else shares your birthday? Assume there are 365 days in a year, and that all birthdays are equally likely, and that you don't have a twin in the school. [3]

1. Mr. Grasley draws two cards from a standard 52-card deck.

What is the probability that the first card is a club and the second card is a spade? [2]

What is the probability that the first card is a heart and the second card is a 7? [3]

What is the probability that neither card is a diamond? [2]

1. You have four cards in your hand: 2 of hearts, 5 of clubs, 9 of diamonds, queen of spades. If you draw another card from the rest of the deck, what is the probability that you will have a matching pair? [3]

1. A company manufacturing LEDs finds that the probability of an LED being defective is 0.0005 (that is, 0.05%). Their quality-control process finds 75% of the defective LEDs before they are shipped to customers (but 25% of defectives get through!).

Draw a tree diagram that shows the possible outcomes. [3]

What is the probability that an LED is defective but is NOT found by the quality-control process? [2]

1. 12 students gather together to play a 3-on-3 basketball tournament. They put their names into a hat and randomly draw 4 teams of 3 players each.

What is the probability that Michael and Jordan are on the same team? [2]

What is the probability that they are different teams? [2]

1. You roll a d6 die three times in a row. Let event be rolling an increasing sequence of three numbers (like 3-4-5, but NOT 2-4-5). Let event be rolling three numbers which are composite (not primes). Which event is more likely; that is, which is larger: () or ()? [5]

1. A recent media outlet reported that 20% of high school students use social media to get help with their homework. According to the report, 75% of those students use Twitter for this purpose.

What percentage of ALL students use Twitter to get help with their homework? [1]

In a typical class of 25 students, what is the probability that no students use Twitter to get help with their homework? [2]