How Many Hands Did A Roommate Shake?
Pre-Interview
(Ten minutes)
1) Mental Math: One million minus one hundred eleven.
2) Mental Math: Fifty-four percent of one hundred ten.
3) Game: With one die, suppose in a round, you earn the amount of dollars equal to the value of the upwards face of the die. (eg. you earn $6 if you roll a six.) Now also suppose after your first roll, you are given the opportunity to cancel your first and roll again, taking that value as the final value. What should your strategy be?
4) What's the closest integer to the square root of 1420.
5) You and a roommate are hosting a party. You invite 10 other pairs of roommates. During the party you poll everyone at the party (excluding yourself) and ask how many hands each person shook. Two conditions:
a) Each …show more content…
Question: How many hands did you roommate shake?
6) a) You roll a die, and are given an amount in dollar equal to the number on the die. What would you pay to play this game if you played it a lot of times?
b) now say that when you roll the die, you're allowed to either take the money that you'd get with the roll, or roll a second time; if you roll a second time, you're obligated to take the number of dollars that you get with the second roll. Now what is the worth of the game?
c) Same thing as above, except you have an option to play the game a third time.
Interview
(Thirty …show more content…
The second one was a probability ques. If you flip four quarters and get $1 for each head, what is the expected value? I said $2 because the flips are independent, easy enough. Then he asked, now assume after you flip the four quarters you can flip one of them again(if it was tails), now what is the expected value? I said, $2.50 figuring in another 50cents for the extra flip. He says no, gives the hint that would you flip again in every outcome...oooh I got his hint but got flustered and couldn't figure it out. Looking back in retrospect now, its quite easy though I'm not sure it's right because he said it would have to be less than $2.50. Now, you take the four states, 4H, 3H, 2H, 1H. 4H gives you $4 x 1/4 . 3H gives you $3 x 1/4 + 50cents for the extra flip. And so on till you get 11.50/4 or
(Ten minutes)
1) Mental Math: One million minus one hundred eleven.
2) Mental Math: Fifty-four percent of one hundred ten.
3) Game: With one die, suppose in a round, you earn the amount of dollars equal to the value of the upwards face of the die. (eg. you earn $6 if you roll a six.) Now also suppose after your first roll, you are given the opportunity to cancel your first and roll again, taking that value as the final value. What should your strategy be?
4) What's the closest integer to the square root of 1420.
5) You and a roommate are hosting a party. You invite 10 other pairs of roommates. During the party you poll everyone at the party (excluding yourself) and ask how many hands each person shook. Two conditions:
a) Each …show more content…
Question: How many hands did you roommate shake?
6) a) You roll a die, and are given an amount in dollar equal to the number on the die. What would you pay to play this game if you played it a lot of times?
b) now say that when you roll the die, you're allowed to either take the money that you'd get with the roll, or roll a second time; if you roll a second time, you're obligated to take the number of dollars that you get with the second roll. Now what is the worth of the game?
c) Same thing as above, except you have an option to play the game a third time.
Interview
(Thirty …show more content…
The second one was a probability ques. If you flip four quarters and get $1 for each head, what is the expected value? I said $2 because the flips are independent, easy enough. Then he asked, now assume after you flip the four quarters you can flip one of them again(if it was tails), now what is the expected value? I said, $2.50 figuring in another 50cents for the extra flip. He says no, gives the hint that would you flip again in every outcome...oooh I got his hint but got flustered and couldn't figure it out. Looking back in retrospect now, its quite easy though I'm not sure it's right because he said it would have to be less than $2.50. Now, you take the four states, 4H, 3H, 2H, 1H. 4H gives you $4 x 1/4 . 3H gives you $3 x 1/4 + 50cents for the extra flip. And so on till you get 11.50/4 or