Best 15 Probability Questions for Data Science Interview

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Probability is integral to information science and overlaps with stats in many areas. Its ideas are crucial to many essential data science parts and sure to be directed in probability questions for data science interview. Subjects like inferential statistics as well as Bayesian networks find many uses in image processing booklet classification, predictive reporting as well as system biology.

In order to learn statistics, one needs to find out about probability. The probability questions for data science interview below demonstrate a great image of the type that you might experience in an information science interview. Read through them and your knowledge of yours will be analyzed. At the exact same time you are going to gain in-depth clarity on the different kinds of probability troubles, and like solving them. Have fun!

Probability Questions for Data Science Interview

Question 1 on Probability Questions for Data Science Interview

  • When is an event A independent of itself?
    Solution – An event may just be separate from itself when there’s zero possibility of it happening or perhaps when it’s certainly going to take place. Events A and B are actually independent when P(AꓵB) = P(A)*P(B)

    Given B=A, P(AꓵA) = P(A) when P(A) = zero or perhaps one. It’s a very beginner question asked on probability questions for data science interview.

Question 2 on Probability Questions for Data Science Interview

  • Does the frequentist approach always give the same result as the Bayesian approach?
    Solution – No. The frequentist strategy is determined by the way the hypothesis is actually identified while our prior faiths are actually updated by the Bayesian strategy. Therefore the frequentist approach may well lead to an exactly opposite conclusion in case the hypotheses are reported in a unique fashion. Hence the 2 procedures might not deliver the exact same results.

Question 3 on Probability Questions for Data Science Interview

  • If you should generate a random number between 1 – 7 with only one die, how will you do it?
    Solution – We have to release the die three times: each and every throw sets the nth component of the outcome. For every launch, if the great is actually between one and three, it is going to be zero, else one. The end result is actually between zero (zero) and seven (111), spread quite uniformly because there are actually three independent throws. If we repeat the throws when zero was obtained: the procedure prevents uniformly sent out values.

Question 4 on Probability Questions for Data Science Interview

  • If you are given draws from a normal distribution with known values of parameters, how can you generate draws from a uniform distribution?
    Solution – We have to type in the value from the regular distribution collective distribution function of the very same random variable.

Question 5 on Probability Questions for Data Science Interview

  • A jar contains 4 marbles. 3 Red & 1 white. Two marbles are removed with replacement after each draw. Find the probability that the same color marble is drawn twice?
    Solution – Suppose that the marbles are of the same color.Then the calculation will be 3/4 * 3/4 + 1/4 * 1/4 = ⅝

Question 6 on Probability Questions for Data Science Interview

  • In a website offering dating services, users can select 5 out of 24 adjectives to describe themselves.
    Solution –
    A match is said to be between two users if they match on at least 4 adjectives.

Question 7 on Probability Questions for Data Science Interview

  • If Alice and Bob randomly pick adjectives, what is the probability that they are able to find a match?
    Solution – The probability here is calculated as 24C5*(1+5(24-5))/24C5*24C5 = 4/1771

Question 8 on Probability Questions for Data Science Interview

  • There’s a 0.1 % possibility of getting a coin with the two heads, along with a 99.9 % chance you buy a reasonable coin. A coin is actually flipped plus it comes up heads ten times. What is the possibility that the reasonable coin was picked, because of the info that you observed?
    Solution – The possible incidents are actually F = “picked a good coin”, T = “10 heads inside a row”
    P(F|T) = P(T|F)P(F)/P(T) (Bayes theorem) -(1)
    P(T) = P(T|F)P(F) + P(T|¬F)P(¬F) (total probabilities) -(2)
    Injecting (2) in (1):
    P(F|T) = P(T|F)P(F)/(P(T|F)P(F) + P(T|¬F)P(¬F)) = 1 / (1 + P(T|¬F)P(¬F)/(P(T|F)P(F)))
    = 1/(1 + 0.001 * 2^10 /0.999)
    With 210 ≈ 1000 and 0.999 ≈ one, this is equal to 0.5

Question 9 on Probability Questions for Data Science Interview

  • If a life insurance business sells a 1dolar1 240,000 living insurance policy with a one-year phrase to a 25 year older woman for 1dolar1 210, the likelihood that she survives the season is actually,999592. Find the anticipated value of this particular policy for the insurance business?
    Solution – The probability that the company loses the money, P(company loses the money ) = 0.99592
    The probability that the company doesn’t lose the money P(the company does not lose the money ) = 0.000408
    The amount of money the company loses in case of loss = 240,000 – 210 = 239790
    The money gained is $210
    Expected money the company should give = 239790*0.000408 = 97.8
    Expect money the company receives = 210.
    Therefore the required value = 210 – 98 = $112

Question 10 on Probability Questions for Data Science Interview

  • Alice has 2 children, one of which is a girl. In what probability will the child be also a girl?
    Solution – Assuming there are an equal number of males and females in the world, the outcomes for two kids can be {BB, BG, GB, GG}
    Since it is given that one of them is a girl, the BB option can be removed. Therefore the sample space has 3 options. In those, only one fits the second condition. Therefore the probability that the second child will be a girl too is 1/3

Question 11 on Probability Questions for Data Science Interview

  • In a category of thirty pupils, what’s the probability 2 of the pupils have the birthday of theirs on the exact same (assuming it’s not really a leap year)?
    Solution – An example of a favorable event would-be students with birthdays 3rd Jan 1998 and 3rd Jan 1997. The total number of possible combinations for no two persons to have the same birthday in a class of 30 is 30 * (30-1)/2 = 435.
    Now, a year has 365 days (if not a leap year). Thus, the probability of two persons having a different birthday would be 364/365. Out of 870 possible combinations, no two people having the same birthday is (364/365)435 = 0.303. Thus, the probability of two people having their birthdays on the same date would be 1 – 0.303 = 0.696 or 69.6%

Question 12 on Probability Questions for Data Science Interview

  • According to hospital records, 75% of patients suffering from a disease die from that disease. Find out the probability that 4 out of the 6 randomly selected patients survive.
    Solution – This has to be a binomial there are only 2 outcomes – death or life. Here n =6, and x=4. p=0.25(probability if life) q = 0.75(probability of death)
    P(X) =
    nCx*p*q*(n-x) = 6C4* (0.25)*4*(0.75)*2 = 0.03295

Question 13 on Probability Questions for Data Science Interview

  • A fly carries a lifetime of between 4 6 days. What’s the likelihood that the fly is going to die in precisely five days?
    Solution – The continuous probabilities below create a mass function. The likelihood of the event is actually estimated by discovering the part under the curve. Here since we need to estimate the likelihood of the fly expiring for precisely five days – the part under the curve can be zero.

Question 14 on Probability Questions for Data Science Interview

  • A roulette wheel has thirty-eight slots – eighteen are red, eighteen are black, and two are going green. You’re playing 5 games and usually bet on red. What’s the probability you go on to win five games?
    Solution – The probability that this color is packaged as white in any spin is actually 18/38. The game is actually being played five times and most of the games are actually independent of one another. Therefore, the likelihood that all the video games are actually won is actually (18/38)*5 = 0.0238

Question 15 on Probability Questions for Data Science Interview

  • Say you have a sandwich shop. Out of the readily available choices, 70 % of individuals pick an egg, as well as the rest select chicken. What’s the probability that you sell two egg sandwiches to the following three customers?
    Solution – The likelihood of promoting an egg sandwich is actually 0.7  and selling a chicken sandwich is actually 0.3. The probability that the next three customers will purchase two egg sandwiches is actually 0.7 * 0.7 *0.3 = 0.147

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2 responses to “Best 15 Probability Questions for Data Science Interview”

  1. […] Uncertainty and unpredictability are a part of our everyday lives, and dealing with such difficulties as a data scientist necessitates a solid understanding of probability principles. The following questions will assist you in removing any uncertainty from your probability preparation. Click here to see the 15 Questions asked on Probability in Data Science interviews. […]

  2. […] ALSO READ : Best 15 Probability Questions for Data Science Interview […]

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