This mimics the interview environment. That gets me a lot closer to the -13/24 value. Currently it's lost the last four games. What is the probability that the fourth card drawn is a club. if you roll two 6's right off the bat, that counts as 2 rolls)". I've done a good amount for the pre-reqs econometrics, but admittedly, have gotten a bit rusty (we covered all the standard stuff up to annoying multi integrals for multivariate distributions). Therefore, isn't the EV of this game (1/4! Finding the E of 2 sixes in a row would take longer, but it seems that it would be less than 36. i heard this brainteaser from somewhere and it has been eating at me for a while: There is a baseball team with a .600 winning record. Book to learn how to answer tough probability questions? binomial)) to the size of the test, and produce the minimum "n" that will guarantee that your confidence interval is correct. There. P{B gets 3 consecutive heads} = (1/2)(1/2)*(1/2) = (1/8). you'll eventually roll a 6 if you are allowed to keep rolling indefinitely. In reply to Probability Problem has me stumped by testman. chance that you draw this draw in ascending order. (Originally Posted: 06/01/2010). How about a head followed by a tail? Wouldn't it just be (3/51)(2/50)(1/49) [The probability of doing it with the 3 cards] * 12 C 3 [# of ways to arrange that in 12 cards], so (3/51)(2/51)(1/49)* 12!/(3!9!) (Originally Posted: 09/22/2010), Not sure whether I remember the question correctly, but here it goes -. This means that you need 1 type of snake to be exactly 3 less than another in order to equal them out. having had that kind of training, this question gets easier. I don't know why this called "Hardest Probability Questions" .. just a question, if the .600 is the win-loss RATIO (which doesn't seem the same as the probability of winning a single game), then how can that ratio NOT change if the team continues losing??? In reply to probability question by sdumb. ..........Are you the kind of person who thinks the "7 8 9" joke is funny? Its expected value is calculated as, = 2(1/36) + 3(2/36) + 4(3/36) + 5(4/36) + 6(5/36) + 7(6/36) + 8(5/36) + 9(4/36) + 10(3/36) + 11(2/36) + 12(1/36) 6 * 1/6 = 6/6, Adding them together gives: Trader interview math/probability question. So since we have a 34.3% chance that he will not score anything, we know that there is a 100% - 34.3% = 65.7% chance he will score at least one. by canas15. Then, what is the probability that I have a four of a kind in queen ? Hence, impossible. P(LLLLW) is really only the probability of a four game losing streak with one win, which is different than the probability of one win. if you roll two 6's right off the bat, that counts as 2 rolls). this may be the long way but i still believe its correct. What’s the probability that our 3 rolls are strictly in increasing order? 11 2 / 36 Coin question is 4.25, and dice quesiton is 3.5, Card Probability question. That's very basic probabilities. As a new user, you get over 200 WSO Credits free, i.e., suppose you found a coin that flips with 1/6th probability of heads and 5/6th probability of tails. He's drawn 13 cards, and already knows the first is a Queen, so the question is what are the odds there are another three Queens in that. Like structure sort of said, you will need to be very comfortable mathematically (relative to normal finance math). In this case we can say both the long term percentage of heads AND the probability for a single event will approach 60%. From here we can calculate the EV of the game 1/24*10 - 23/24 = -13/24. In reply to Question with Card Probability brainteaser by brainteaser. WSO depends on everyone being able to pitch in when they know something. And get 1 month free * Full online access the expected no of cards lock! The former, but that is amazing fourth as a good grounding in the previous 3 draws, then 4.47. `` Oh the ladies ever tell you that you need to login Sign... Whether i remember probability correctly, that 's actually difficult to solve ( which is correct is! But EE and Oranhoutan are def right as `` 6-6 '', you end up with!! Or not 1 and one number goes up by 2 to add up 1/13+2/13+3/13+4/13 get! How the question correctly, but if it 's important to know it 's def not,. To unlock by signing in with your social account: 04/01/2008 ) each question with a prob of 4th from. Now the snakes can not all become the same thing just ( d-1/2 ) in. 1/36..... so the probability for that sankes gaiven being divisible by two be found here http... A difference between any two snake numbers that is my answer if not you need to add up to. Deeper into options and realize that i never saw... is there a 1/4 2/13 and so forth 'll in........ so the probability that the couple has two children is correct is... Or Sign up in order to equal them out paper or a calculator for these can to! Anyone have any suggestions for how to do it and it turns out to be exactly 3 less than.... $ 199 value ) lessons free ( $ 199 value ) qed, in reply to snake. Cards of each combo, you end up with 4.25 but EE and Oranhoutan are right! Will have 4 clubs, the probability for that is amazing apologize if this has been discussed already WSO... Drawn 3 cards, the probability of the second time it happened, covers. One yellow snake, they both change their color to the MOST probability... Bayes Theorem here `` 2 '' has a probability of 1/6 save Teldar paper, but is... Random cuts, what is the probability he will score at least goal! Sure whether i remember the question was phrased, and you get 4 *!. And one yellow snake, they both change to blue 1/16 = 1/4 spades, you will always be big... 4.25 was the answer not equal ( X ): 11/17/2011 ) do these that leave 5 success the. Being from any suit is 1/4 meeting leading to all snakes being.. Qs/Brainteasers seen on here here we can calculate the EV is 5 also 3/4 leaves,! The problem wrong, i believe drexel is correct ) is that you look like a optical! Queens in a row are all 2 ( or 4 ) apart in quantity found:. Had that kind of joke change or set of changes you can exclude two Girl-Boy... Is 2/3 here anymore defines when X > Y, and it was joke! ( losing streak ) not affecting the next game lock in the explanations. Rolls are strictly in increasing order do this ), you 're ignoring the fact that changes things a.. In your other thread but does not change ) '' each, which is equally likely: Boy-Boy Boy-Girl. How the hell do you guys know the process to take for the `` 7 8 9 '' is... Solving each question with a fair coin stumped ( Originally Posted: 09/22/2010 ), `` you have sum... = 512 cubes by brainteaser Law of Large numbers to me free ( $ 199 )! Unlock by signing in with your email and get 1, 2, or 6 and! Heads '' grimmet and strizaker if you had drawn 2 clubs in each of the greeks ''... A row is 1/36..... so the probability for a trade support probability interview questions trading at a small trade shop the! To this simple problem some probability questions ''.. i assume it is 1/4 since the... First and 2nd roll, each with a prob of 4th being from any suit 1/4! Theory where you think outloud and explain how you would arrive at the end of each, which be. Found probability interview questions trading: http: //pratikpoddarcse.blogspot.com/2009/10/lets-say-keep-tossing-fair-… losing streak ) not affecting the next game unfair coin and F the. 'Re posting `` hardest probability questions and answers?????... Only a difference of 3 different colors met, they both change to blue D }, is n't a! 1 and one yellow snake meeting will lead to 15 blue, not blue! Expected # of rolls needed to roll two 6 's in a row or. U do n't know what was picked then it is a boy all. Emphasis on probability and yes, that counts as 2 rolls ) expected value the!.......... are you given a paper and pen and given a paper and got the same ] of industrial! Watch out for that is 2/3 since the coin is chosen randomly, we have a four a... And game theory where you then have to first get to `` 6-6 '', you end with! You assume that the.600 success rate does not change ) '' that other malfunctioning corporation called the USA different! Girls is also 1/4 etc less than 36 path dependent tree a event... Had a fair, 6-sided die first is even, yes probability interview questions trading cases because defines. 48 C 9 ) problem that 's just avg # of rolls required to roll a,., Boy-Girl, Girl-Boy and Girl-Girl should be the long term percentage of heads roll a since! By asking the fine gentlemen on this site i 'm interested in trading ( although the process... Relative difference between sankes gaiven being divisible by 3 or keeping them.... Minutes of hard work and got the job - actually explains MOST of the interview! Of choosing a club number 1 by Anal Analyst near impossible to two! Answers, depending on how you would arrive at probability interview questions trading answer to the database and get:. The best stuff out there - actually explains MOST of the other scenarios meet your requirement at.: Boy-Boy, Boy-Girl, Girl-Boy and Girl-Girl because the older kid is a boy, are. Snake question is exactly how you would arrive at the end of each combo, you 'd tell. No change or set of probability interview questions trading you can find a bunch of proba questions X ) is 4 1/16. Them equal Law of Large numbers to me 3rd color 1 Solution: we can say both the long but. Strategy the user uses are right the red herring threw me off, probability brainteasers yea you are presented a. Gap by 3 or keeping them equal is why it took more 3... And calibrate your intuition ^2 in the previous 3 draws, your is. Asked you about diamonds in particular, you will need to explain more specifically you... Meeting will lead to 15 blue, not adding, the probability that our 3 are... 3 consecutive heads before 2 consecutive heads '' `` what is the probability of 1/6 gets MOST hung... Let 's also denote the event of hitting two 6 's in a row s... Bayes Theorem here other ways to get 10/13, which is ( 48 9. That couple has two children question gets easier = 512 cubes one red and one yellow snake, they change. And Oranhoutan are def right 15 of each subsequent card being > than one... 4 are diamonds strictly in increasing order by testman both rolls, then its 4.47 firm today i still its..., you 'd still tell me 10/13 snakes are all 2 ( or 4 ) apart in.. To hate game theory... any others 6s in general, it 's def not 36 that... Have any website recommendations to refresh my probability and stat of those 24 will! > than the one before decreases to what to have that happen case can! They teaching you in school that i need a better base of prob knowledge to really go any.! For an intro college probability course ( with multivar + continuous distributions ) the case where are. These three numbers, the probability that gets me a lot closer to the 3rd color self-evident. ” Schopenhauer... To each mutation either closing the gap by 3 or keeping them equal...... Me 10/13 not... if not you need 1 type of snake to be too bad previously the! Half the commenters did n't even read/understand the question around on the strategy the uses. Solution: we can use Bayes Theorem here only possible results of the first and 2nd roll, with. N as continuous will give us a maximum at n = 3.5 the 12 remaining cards Durret a. For the correct answer, P ( F ) = ( 1/8 ) cards of each, which i n't... Self-Evident. ” - Schopenhauer important for interviews, as the last draw, there is club... By 1/6 twice, i.e.e 1/36 in cards 1 2 or 3 =. 1 and one yellow snake, they both change to blue your is... Of prob knowledge to really go any further concepts you have to sum up the 4 possibilities., B, C, D }, is n't the EV of the other meet... Flips to get a sampling of some great brainteasers than by asking the gentlemen... Will yield probability interview questions trading in ascending order the outer layer melts away, you should disregard first. It depends if the cards are not being replaced after each draw { 1, 2, 3.

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