When interviewing a candidate for a business analyst role, employers are looking to assess your analytical problem-solving skills as well as your communication and collaboration skills. Be prepared to analyze a business case study and answer behavioral questions that often test your ability to handle challenging stakeholders or tight deadlines. Business analysts must also be creative thinkers, so expect to tackle a few unusual brainteasers that are designed to see how well you can think through a complex problem.
Let's say we're playing Russian roulette. The revolver has SIX barrels, THREE of which contain bullets. I give you two options: A. Spin, shoot. Spin, shoot. Spin, shoot. (For a total of three times). B. Spin once and pull the trigger twice. Which option would you pick and why?13 Answers
A. Your chances of surviving are (3/6)*(3/6)*(3/6) = 1/8. B. Your chances of surviving are 1/3. Therefore, you want option B.
Correct me if I'm wrong but aren't the chances of surviving scenario B based on conditional probability...the probability you survive the second trigger pull given that you have already survived the first... (3/6)*(2/5)/(3/6)= 40% chance of survival
I forgot to add a crucial part of the question in my original post, which is that you know that the three bullets are right next to each other. Thus, the first spin determines whether you survive, and there are two out of the six chambers that are safe to "land on," hence 1/3. In my original wording of the question, I think your chances of survival would just be (3/6)*(2/5) = 1/5.
A: 3/6*3/6*3/6 = 1/8 B: 3/6*2/3 = 1/3
OP, I have a question to you. Can you explain about the cases. Do you think prior knowledge of Credit card industries and other banking concepts are important. I am from engineering background and i am that familiar with banking concepts.
You should have a basic knowledge of credit card concepts, e.g. credit limits, balances, interest rates. The interviewer will be happy to explain any uncommon terms that they use during the case (e.g. I wasn't familiar with the term "utilization ratio" and my interviewer was happy to tell me what it meant). You don't need to know about the crazy derivatives or anything like that. Put it this way: The interviewers won't penalize you if you ask them what a particular term means during a case. However, if they ask you what consumers might care about in choosing a credit card or bank, you should be able to name basic concepts such as the ones above.
Thanks for your response.
this problem is conditional probability because previous events effect probability of current. If the chambers are loaded with 3 bullets at random: % of survival = 3/6 * 2/5 *1/4 = 5% chance of shooting 3 blanks consecutively. If the bullets are in 3 consecutive chambers, then your % drastically changes. 50% chance on first shot. If blank, then you know that 3 permutations are no longer available: chamber 123,612, 561. Therefore chamber 5 has a 66% chance to contain a bullet chamber 6 has a 33% chance to contain a bullet chamber 2 has a 33% chance of containig the bullet chamber 3 has a 66% chance to contain a bullet chamber 4 must contain a bullet Chance of dying with 3 consecutive shots if the bullets have to be consecutive is 0.5*0.666*0.333 = 11%
--Spin-shoot-spin-shoot-spin-shoot: We are selecting a random barrel each time (50% chance of containing a bullet) Probability of surviving = (1/2)*(1/2)*(1/2) = 1/8 = .125 --Spin-shoot-shoot First chamber has 50% chance of containing bullet. If we survive the first shot, there are still 3 bullets (2 blanks) left, but only five remaining chambers Probability of surviving = (1/2)*(2/5) = 2/10 = .2 .2 > .125, so the second option is safer.
Martin is right except for the last part. It would be Probability of surviving = (1/2)*(2/3) = .33 This is because if you survived the first shot you are in 3 of the possible blank chambers that are all next to each other. If you first shot blank #1, you will move and shoot blank #2 next. If you shot blank #2 first, you will move and shoot blank #3 next. If you shot blank #3 first, you will move and shoot the first bullet (1/3 chance of getting bullet conditional on surviving the first shot). Given then you survived the first shot with 50% chance, you started in one of those blank chambers. And since the blanks are adjacent to each other (since the bullets are all adjacent), your chances will be 2/3 for survival. And 1/2*2/3 = 1/3
None of them, I want to live.
How about we just not play Russian roulette.
rather not play