If you roll two dice and you have the option to roll again and get paid the highest roll, when is it optimal to roll again?
Trade Operations Interview Questions
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If 1st Jan 2015 was on a Monday, which day would it be on 1st Jan 2025?
there are 3 problems presented during the phone interview. the first two could be found here. I only give 3rd problem: I am thinking about two positive integers: a and b. I can tell you a/b is belong to the close interval [0.48, 0.52], then give me all the possible values for b no matter what value a takes.
A cube painted with red paint was divided into 27 smaller cubes (3*3*3). Randomly pick one and toss it. What is the probability that at least one of the sides that can be seen has paint on it.
You have two dices. There are two players. You each pick a number. The person who picks the number closest or equal to the sum of the roll of the dices is the winner. What is the strategy to optimize chances of winning. Also, is it always better to pick the number that has the highest chance of being rolled? This situation does not apply to the rules of this game. For example, this question could apply to the rules when the two numbers on the die are multiplied rather than added.
If you can reflip one whats the expected value
probability of getting even number of heads when flipping 39 coins
On a multiple-choice exam with three possible answers for each of the five questions, what is the probability that a student would get four or more correct answer just by guessing?
2 millions minus 1021.
Similar to question about coins however it was about beads that were then not replaced. So For example there are 6 $10 chips in Urn A and 6 $1 Chips. 3 $10 chips in Urn B and 9 $1 chips. Given that the chip picked is $10, what is the probability of picking a $10 chip again and what is the estimated value of this pick.
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