Bayes' Theorem

JEE Main Mathematics · Probability · 16 questions, latest first

• A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation…20268 April, Shift 2 · Q6
• A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two consecutive letters AN…20265 April, Shift 1 · Q7
• A bag contains 10 balls out of which k are red and ( 10-k ) are black, where 0 ≤ k ≤ 10. If three balls are drawn at random…202628 January, Shift 1 · Q7
• A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at random is tossed and head turns up. If…20257 April, Shift 2 · Q10
• A card from a pack of 52 cards is lost. From the remaining 51 cards, n cards are drawn and are found to be spades. If the…20254 April, Shift 2 · Q23
• Given three indentical bags each containing 10 balls, whose colours are as follows: A person chooses a bag at random and takes…20252 April, Shift 2 · Q9
• Bag B_1 contains 6 white and 4 blue balls, Bag B_2 contains 4 white and 6 blue balls, and Bag B_3 contains 5 white and 5 blue…202528 January, Shift 2 · Q9
• There are three bags X, Y and Z. Bag X contains 5 one-rupee coins and 4 five-rupee coins; Bag Y contains 4 one-rupee coins and 5…20248 April, Shift 2 · Q19
• A company has two plants A and B to manufacture motorcycles. 60 % motorcycles are manufactured at plant A and the remaining are…20246 April, Shift 1 · Q20
• Three urns A, B and C contain 7 red, 5 black; 5 red, 7 black and 6 red, 6 black balls, respectively. One of the urn is selected…20244 April, Shift 1 · Q19
• A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at random without replacement and it was found…20241 February, Shift 1 · Q17
• Bag A contains 3 white, 7 red balls and Bag B contains 3 white, 2 red balls. One bag is selected at random and a ball is drawn…202430 January, Shift 2 · Q20
• In a bolt factory, machines A, B and C manufacture respectively 20 %, 30 % and 50 % of the total bolts. Of their output 3, 4 and…20238 April, Shift 1 · Q18
• A bag contains 6 balls. Two balls are drawn from it at random and both are found to be black. The probability that the bag…202331 January, Shift 1 · Q78
• 25 % of the population are smokers. A smoker has 27 times more chances to develop lung cancer than a non smoker. A person is…202325 January, Shift 2 · Q89
• Three urns A, B and C contain 4 red, 6 black; 5 red, 5 black; and λ red, 4 black balls respectively. One of the urns is selected…202324 January, Shift 2 · Q87