Roulette table, numbered 1,2,3,4,5. Each roll, you are awarded cash at the value rolled. if you roll 50 times, what are the chances of receiving more than $170?
Quantitative Associate Interview Questions
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A can finish a job in 100 min, B can finish the same job in 120 min. A and B work together on this job, but after 40 min C comes to help them and they finish the job in additional 10 min. How long would it take to C to finish the job by himself?
You play a game with someone, the rule is to take turns to put a quarter on a round table ( can be any size, but must be of symmetrical shape). You are trying to cover the table up with quarters, you lose when there's no place for you to put down the quarter. Should you be the first person to play ?
if you have 5 digits what is the largest number you can create whilst keeping the product 120, can you make it arbitrary large if we remove the restriction on number of digits?
Roll a 6-sided and 10-sided die. I pay exactly the sum of the numbers on the dice only if you guess the sum correctly. What number do you guess?
The probability of raining on Saturday is 30%, probability of raining on Sunday is 40% (a) What is the probability of raining on weekend? (b) What is the assumption made? (c) If not independent, what is the maximum and minimum probability of rain? (Ans: 40%,70%)
We randomly select 3 numbers from the set of the first 9 prime numbers, without replacement. What is the probability the sum of those numbers is even? And why?
Go to a bar, throw darts for 500 times, 1/2 probability hitting the target, 1 point awarded for each hit. Now getting drunk and throw for 500 times, 1/2 probability hitting the target but 3 points award now. (1) What is the expected score/number of hits? (2) If we got 1100 points, give a feasible (say 15 points) interval estimate of points? (3) How to make this calculations exact?
Approximate the number of book titles ever published
I am thinking of a number that does not contain the digit 1. The product of the digits is 96. What is the smallest possible number in my mind? How about the largest?
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