Statistics

What are the odds you can correctly guess a randomly chosen card from a deck? If allowed one question about its color or rank, which would you ask to better your chances?

Data Scientist

Hopper

OpenDoor

Cisco

Yext

Improbable

NetEase

Did you come across this question in an interview?

  • Suppose I have a deck and take one card at random. What is the probability that you guess the one I have, correctly? Now let's say you want to improve the odds of the guess, so I allow you to ask one of two questions, which I will answer honestly before you guess. Is the card red? is the card a face card? Which question would you ask to maximize the chances of a correct guess?
  • What are the odds you can correctly guess a randomly chosen card from a deck? If allowed one question about its color or rank, which would you ask to better your chances?
  • Assuming I pick a card from a deck at random, what's your chance of guessing it right? If you could ask whether it's red or a face card before guessing, which question would help you the most?
  • Consider the probability of guessing a random card from a deck. If you could ask about its color or if it's a face card to improve your guess, which question would you choose?
  • With a random card drawn from a deck, what's the likelihood you'll guess it correctly? If you can ask if it's red or a face card to enhance your odds, which inquiry is preferable?
  • Imagine I've selected a card from a deck. What's your chance of guessing correctly? Would you ask if it's red or a face card to better your chances, and which is the wiser question?
  • What's the chance of accurately guessing a card I draw from a deck? If I let you ask whether it's red or a face card to boost your odds, which query would you select?
  • If tasked with guessing a randomly picked card from a deck, what's your probability of success? And if you could know if it's red or a face card before guessing, which question would you opt for?
  • When guessing a card taken at random from a deck, what's your likelihood of being correct? If permitted to inquire about its color or if it's a face card, which would you ask to improve your chances?
  • If you had a chance to guess a randomly selected card from a deck, what's your probability of getting it right? And if you could ask if it's red or a face card to better your odds, which question would you pose?
  • If you had to guess a card I've drawn from a deck, what's your probability of guessing right? With one honest answer to a question about the card's color or face value, which would you choose to improve your odds?
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Interview question asked to Data Scientists interviewing at Yext, Huawei, Siemens and others: What are the odds you can correctly guess a randomly chosen card from a deck? If allowed one question about its color or rank, which would you ask to better your chances?.