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1. Flip a coin 6 times; what's the probability of getting heads every time? 2. Go into a racquetball court and use duct tape to

1. Flip a coin 6 times; what's the probability of getting heads every time?

2. Go into a racquetball court and use duct tape to divide the floor into four quadrants of equal area. Throw three super-balls in random directions against the walls as hard as you can. What's

the probability that all three balls come to rest in the same quadrant?

3. You're at your grandma's house for Christmas, and there's a bowl of holiday-themed M&Msred and green ones only. There are 500 candies in the bowl, with an equal number of each color. Pick one, note its color, then eat it. Pick another, note its color, and eat it. Pick a third, note its color, and eat it. What's the probability that you ate three straight red M&Ms?

4. You and two of your friends enter a raffle. There is one prize: a complete set of Ultra Secret Rare Pokmon cards. There are 1000 total tickets sold; only one is the winner. You buy 20, and

your friends each buy 10. What's the probability that one of you wins those Pokmon cards?

5. You're a 75% free-throw shooter. You get fouled attempting a 3-point shot, which means you get 3 free-throw attempts. What's the probability that you make at least one of them?

6. Roll two dice; what's the probability of rolling a seven? How about an eight?

7. In my county, 70% of people voted for Donald Trump. Pick three people at random. What's the probability that at least one of them is a Trump voter?

8. You see these two boxes here on the table? Each of them has jelly beans inside. We're going to play a little game, at the end of which you have to pick a random jelly bean and eat it. Here's the

deal with the jelly beans. You may not be aware of this, but food scientists are able to create jellybeans with pretty much any flavor you wantand many you don't want. There is, in fact, such a thing as vomit-flavored jelly beans.6 Anyway, in one of my two boxes, there are 100 total jellybeans, 8 of which are vomit-flavored (the rest are normal fruit flavors).In the other box, I have 50 jelly beans, 7 of which are vomit-flavored. Remember, this all ends with you choosing a random jelly bean and eating it. But you have a choice between two methods of determining how it will go down: (a) You flip a coin, and the result of the flip determines which of the two boxes you choose a jelly bean from; (b) I dump all the jelly beans into the same box and you pick from that. Which option do you choose? Which one minimizes the probability that you'll end up eating a vomit-flavored jelly bean? Or does it not make any difference?

9. For men entering college, the probability that they will finish a degree within four years is .329; for women, it's .438. Consider two freshmenAlbert and Betty. What's the probability that at least one of them will fail to complete college in at least four years? What's the probability that exactly one of them will succeed in doing so?

10. I love Chex Mix. My favorite things in the mix are those little pumpernickel chips. But they're relatively rare compared to the other ingredients. That's OK, though, since my second-favorite is the Chex pieces themselves, and they're pretty abundant. I don't know what the exact ratios are, but let's suppose that it's 50% Chex cereal, 30% pretzels, 10% crunchy bread sticks, and 10% my beloved pumpernickel chips. Suppose I've got a big bowl of Chex Mix: 1,000 total pieces of food. If I eat three pieces from the bowl, (a) what's the probability that at least one of them will be a pumpernickel chip? And (b) what's the probability that either all three will be pumpernickel chips or all three will be my second favoriteChexpieces?

11. You're playing draw poker. Here's how the game works: a poker hand is a combination of five cards; some combinations are better than others; in draw poker, you're dealt an initial hand, and then, after a round of wagering, you're given a chance to discard some of your cards (up to three)

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