HelpContactFor teachers and institutes
>_StemPy Lab
Mock TestsClasses

>_StemPy Lab

Learn. Solve. Code the solutions. Test yourself.

Live examsFree mock exams, timed and rankedEveryone starts together, and your score and rank come the moment it ends.See the exams →

Learn

  • Physics
  • Chemistry
  • Mathematics
  • Biology
  • Python Programming
  • Statistics & Data Science
  • Classes
  • Groups

Practice

  • Problems
  • Quizzes
  • Mock Tests
  • Prepare for an Exam
  • Question Sets
  • Exams
  • Certificates
  • Python Labs
  • AI Practice Generator
  • Student-Created Tests

Community

  • Discussions
  • Resources
  • Notes
  • Blog

Account

  • Log in
© 2026 senLearn. All rights reserved.HelpAboutContactPrivacy PolicyTerms of UseRefund Policy
  1. Quizzes
  2. /A game show has three doors, with a prize behind one. A contestant picks door 1. The host does not know where the prize is. He opens door 3 at random, and it happens to show no prize. What is the probability that the prize is behind door 2?
MathematicsHardHigh School (11–12)Statistics and Probability › Conditional Probability and Bayes' TheoremAPA-LevelIBAEEE (Amrita)AMUEEEAP EAPCET
+20 more exams
BCECECMI EntranceCOMEDK UGETGUJCETIAT (IISER)ISI Admission TestJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETNEST (NISER)
StemPy LabCreated by StemPy Lab

A game show has three doors, with a prize behind one. A contestant picks door 111. The host does not know where the prize is. He opens door 333 at random, and it happens to show no prize. What is the probability that the prize is behind door 222?

Log in to save
← All Quizzes
← A visitor knocks at the door of a house with two children. One of the two children, chosen at random, opens the door, and it is a girl. Each child is equally likely to be a girl or a boy, independently of the other. What is the probability that both children are girls?Three cards are in a hat. One card is red on both sides. One card is white on both sides. The third card is red on one side and white on the other. A card is drawn at random and put on a table. The side facing up is red. What is the probability that the side facing down is also red? →
More onStatistics and Probability › Conditional Probability and Bayes' Theorem

Discussion (0)

Log in to join the discussion.

Loading…

More questions on this topic

  1. Three cards are in a hat. One card is red on both sides. One card is white on both sides. The…Advanced
  2. A visitor knocks at the door of a house with two children. One of the two children, chosen at…Hard
  3. A laboratory screens samples for a contaminant that is present in 5% of them. The screen is…Hard
  4. A test for a rare illness has sensitivity 0.94 and specificity 0.94. A student says, 'If I test…Medium
  5. The same three boxes are used again, with the same throws of a fair die choosing the box, as in…Medium
OJEE
SRMJEEE
TS EAPCET
UPESEAT
VITEEE
All questions on this topic →

Problems on this topic

  1. In a game, a prize is hidden behind one of five doors, chosen at random…Advanced
  2. A trace left at a scene is traced to a town of 20 000 people…Hard
  3. A test for an infection is positive for 95% of the people who have it…Medium
  4. A bag holds two coins. One is fair. The other has a head on both sides…Medium
All problems on this topic →