4.1 Randomness, Probability, and Simulation Part 3

A randomly selected US adult male has probability about 0.07 (7%) of having some form of red-green color blindness. Suppose we choose 4 US adult males at random. What's the probability that at least one of them is red-green color-blind?

• High

• 50/50

• Low

Suppose that 4 friends get together to study at Leigh's house for their next statistics test. When they go for a snack in the kitchen, Leigh's 3-year-old brother makes a tower using their textbooks. Unfortunately, none of the students has written his or her name in the books, so when they leave, each student takes one of the books at random. When the students return the books at the end of the year and the clerk scans their barcodes, the students are surprised to learn that none of the 4 had their own book. What's the probability that none of the 4 students ended up with the correct book?

• High

• 50/50

• Low

A basketball announcer suggests that a certain player is streaky. That is, the announcer believes that if the player makes a shot, the player is more likely to make the next shot. As evidence, the announcer points to a recent game where the player took 30 shots and had a streak of 10 made shots in a row. Is this convincing evidence of streaky shooting by the player? (Assume that this player makes 50% of the shots and that the results of a shot don't depend on previous shots.)

• Yes

• No

• Needs more evidence

A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player's claim is true?

• Yes

• No