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Probability (Class 12)

JEE Main 2024 (Online) 30th January Evening ShiftMCQEasy📈 Topic in 21% papers+4−1
Ques. 1JEE Main 2024, 30 January (Evening Shift)

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 from it. The probability of drawing the ball from the bag A, if the ball drawn is white, is

  1. 1/4
  2. 1/3
  3. 3/10
  4. 1/9

Answer

(2) 1/3

Solution

E1: bag A chosen, E2: bag B chosen, W: white ball drawn

P(W 1)= 310, P(W 2)= 35, P(E1)=P(E2)= 12

∵ Bayes' theorem:

P(E1 )= 12 310 12 310+ 12 35= 33+6= 13

Answer: (2)

Keep practising — Probability (Class 12)

Ques. 2JEE Main 2024, 29 January (Morning Shift)

A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number of throws, is

  1. 511
  2. 56
  3. 16
  4. 611
Ques. 3JEE Main 2024, 27 January (Morning Shift)

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required and let a=P(X=3), b=P(X 3) and c=P(X 6 X>3). Then b+ca is equal to .

Ques. 4JEE Main 2024, 27 January (Evening Shift)

An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made without replacement. The probability, that the first draw gives all white balls and the second draw gives all black balls, is :

  1. 3256
  2. 5256
  3. 3715
  4. 5715

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