JEE Advanced questions
3844 published questions with worked solutions.
- If one ball is drawn at random from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3...
- A draws two cards at random from a pack of 52 cards. After returning them to the pack and shuffling it, B draws two cards at...
- A and B draw two cards each, one after another, from a pack of well-shuffled pack of 52 cards. The probability that all the four...
- Three numbers are chosen at random without replacement from 1, 2, 3, , 10. The probability that the minimum of the chosen numbers...
- A man draws a card from a pack of 52 cards and then replaces it. After shuffling the pack, he again draws a card. This he repeats...
- A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the...
- If the integers m and n are chosen at random between 1 and 100 then the probability that a number of the form 7^ m + 7^ n is...
- It has been found that if A and B play a game 12 times, A wins 6 times, B wins 4 times and they draw twice. A and B take part in...
- If the probability of A to fail in an examination is 1 5 and that of B is 3 10 then the probability that either A or B fails is
- A and B are two events where P(A)=0.25 and P(B)=0.5. The probability of both happening together is 0.14. The probability of both...
- Three faces of an ordinary dice are yellow, two faces are red and one face is blue. The dice is tossed 3 times. The probability...
- India play two matches each with West Indies and Australia. In any match the probabilities of India getting 0, 1 and 2 points are...
- Let A and B be two independent events such that P(A)= 15, P(A B)= 7 10 . Then P( B) is equal to
- Let A and B be two independent events such that their probabilities are 3 10 and 25. The probability of exactly one of the events...
- The probability that at least one of the events A and B occurs is 35. If A and B occur simultaneously with probability 15 then...
- A, B, C are three events for which P(A)=0.6, P(B)=0.4, P(C)=0.5, P(A B)=0.8, P(A C)=0.3 and P(A B C)=0.2. If P(A B C) 0.85 then...
- A coin is tossed 2n times. The chance that the number of times one gets head is not equal to the number of times one gets tail is
- A coin is tossed n times. The probability of getting at least one head is greater than that of getting at least two tails by 5 32...
- A coin is tossed 7 times. Each time a man calls head. The probability that he wins the toss on more occasions is
- A bag contains 14 balls of two colours, the number of balls of each colour being the same. 7 balls are drawn at random one by...