"You are a player in a basketball team.Your team loses with 2 points. You have the ball and the game ends in 3 seconds. You have 2 choices. Pass the ball for a 3 point shot or pass the ball for a 2 point shot. The 3 point shooter has 37% probability hitting the three (and winning the game) and the 2 point shooter has a probability of 77% probability hitting the 2 (and tie the game). In overtime there is 50-50% chance of winning/losing. What do you do and why?"
Challenging questions. Run through some practice ones online.
Find expected value of number of rolls it takes to roll each unique value on a die.
Ask me about 15 horses in total, you can race five at a time, how many times do you have to race in order to find out the fastest 5
2 ants are at the same point. One ant starts walking at a rate of 3 feet per minute for 4 minutes. 2 minutes in, the second ant start walking perpendicular to the first ant at a speed of 5 feet per minute and he walks for 1 minute. What is the rate of change of the distance between the two ants?
Eight quants from different banks are getting together for drinks. They are all interested in knowing the average salary of the group. Nevertheless, being cautious and humble individuals, everyone prefers not to disclose his or her own salary to the group. Can you come up with a strategy for the quants to calculate the average salary without knowing other people's salaries?
4 Coins are flipped what is the probability at most 2 heads are flipped
What day of week is 180 days from today? What is the probability that it will rain on the weekend if there is 50% chance that it will rain on Saturday and 60% for Sunday?
If I flip 100 coins and then multiply the number of heads by the number of tails, what is the expected value of that number? Can you give a confidence interval on this number?
It's 10:45 in London ,what is a degree between hours and minute hand of a clock ?
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