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James goes to the gym every Monday and Tuesday. On every other day of the week, he independently has a 30% chance of going to the gym. On a random day, James is spotted at the gym. What is the probability it is Monday?
2/7
A sock drawer has 4 black and 4 white socks. James removes four socks from the drawer. What is the probability that he can make two pairs of same-colored socks?
19/35
Charlie has 6 hamburger patties and 5 veggie burger patties. To make a massive burger, he stacks all the patties randomly into one burger. What is the expected number of adjacent pairs of patties that are made of the same product?
50/11
X and Y are random real numbers independently and uniformly picked between 0 and 1. What is the probability that the difference between X and Y is between 3/5 and 4/5?
3/25
A neighborhood has 20 adults and 11 children. The adults on average spend 80 minutes walking a week, with a standarEach game independently has a ½ chance of being won by either team. What is the expected difference in the number of games won by the overall tournament winner and the overall tournament loser?
15/16
A frog is attempting two successive jumps to get out of a hole. On its first jump, it has a 20% chance of succeeding; for its second jump afterward, it has a 30% chance of succeeding. If the frog fails, it falls and must try anew. What is the total expected number of jumps the frog will take to get out of the hole?
20 | 
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