# Top 10 Probability Interview Questions

Given that a die is rolled twice and the sum of the numbers is noted to be 6, what is the conditional probability that the number 4 has occurred at least once?

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# 1

What is the likelihood of drawing two cards with the same suite (from the same deck)?

# 2

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N riders receive a \$5 off voucher. P is the likelihood that a coupon will be used. What is the company's anticipated cost?

# 3

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How do you determine whether assignment to the different buckets in an A/B test was indeed random?

# 4

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How would you use Bayes' Rule to test hypotheses?

# 5

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A discount coupon is given to 2 riders. The probability of using a coupon is P. Given that at least one of them uses a coupon, what is the probability that both riders use coupon?

# 6

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A and B are playing a game where each player flips all of their coins. A has n+1 coins, and B has n coins. What is the probability that A will have more heads than B?

# 7

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What is a p-value? If you had a different (far larger, 3 mil records, for example) data set, would it affect how you interpret the p-value?

# 8

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Eight people enter an elevator in a building with ten floors. What is the expected number of stops? What assumptions do you need to calculate this expectation?

# 9

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# 10

Let's say you roll a dice & get a face when you roll. Let's say you get another chance to roll a dice. If you roll, you receive the face you obtained & keep your winnings from the previous round. When should the second roll be made?

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