Suppose there's a 60% chance of rain on saturday, and a 80% chance of rain on sunday. Given that it rained over the weekend, what's the chance it rained saturday?
Junior Trader Analyst Interview Questions
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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?
Sum the odd integers between 1 and 100. Roll two die, what is the probability that the sum of the pips on the die are at least 9. There is a car auction. The price of the car is uniform [0,1000], you do not know the actual value of the car. If you bid higher than the value of the car you get it, if you bid lower than the value of the car you don't. If you know you can sell it on afterwards for x times its worth, what should you should you bid when: x=1.5 x=2.5 e.g. for x=1.5, you bid 100, the car is worth 80, you get it and sell it on for 120, which is a 20 profit. What is the next date that the day month and year share no common values. e.g. 13/11/2014 has four '1's so doesn't count.
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%)
Can you generate a number from 1-10 uniformly at random using two dice?
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?
Play a game with an urn. 75 blue balls. 25 red balls. 1 yellow ball. you get a dollar for every red and if you select the yellow you lose everything. what should be your strategy in the game. you can choose to stop or re-draw after every ball.
At the bus stop 3/4 of commuters leave the bus and 7 new come in. This process repeats 3 times. What is the minimal number of people initially in the bus.
Here's an easy one: You are given a six sided die. What is the expected value of the difference between the two dice rolls?
Make me a 2-point wide market on the chance that a randomly selected number between 1 and 100 does not contain a 7.
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