HARD
JEE Main/Advance
IMPORTANT
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For any two events A & B in a sample space :

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Important Questions on Probability

MEDIUM
JEE Main/Advance
IMPORTANT
In a horse race there are 18 horses numbered from 1 to 18. The probability that horse 1 would win is 16, horse 2 is 110 and 3 is 18. Assuming a tie is impossible, the chance that one of the three horses wins the race, is -
MEDIUM
JEE Main/Advance
IMPORTANT
The probability that a radar will detect an object in one cycle is p. The probability that the object will be detected in n cycles is -
EASY
JEE Main/Advance
IMPORTANT
Two real numbers, x & y are selected at random. Given that 0x1 ; 0y1. Let A be the event that y2x ; B be the event that x2y, then -
MEDIUM
JEE Main/Advance
IMPORTANT
A Urn contains 'm' white and 'n' black balls. Balls are drawn one by one till all the balls are drawn. Probability that the second drawn ball is white, is -
MEDIUM
JEE Main/Advance
IMPORTANT
Two buses A and B are scheduled to arrive at a town central bus station at noon. The probability that bus A will be late is 15. The probability that bus B will be late is 725. The probability that the bus B is late given that bus A is late is 910. Then the probabilities PA¯B¯ and PAB are respectively
HARD
JEE Main/Advance
IMPORTANT
If A & B are two events such that PB1, BC denotes the event complementary to B, then -
HARD
JEE Main/Advance
IMPORTANT
The probabilities of events, AB, A, B & AB are respectively in A.P, with probability of second term equal to the common difference. Therefore, the events A and B are -
HARD
JEE Main/Advance
IMPORTANT
From an urn containing six balls,3 white and 3 black ones, a person selects at random an even number of balls (all the different ways of drawing an even number of balls are considered equally probable, irrespective of their number). Then, the probability that there will be the same number of black and white balls among them, is