MEDIUM
JEE Main/Advance
IMPORTANT
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Two buses A and B are scheduled to arrive at a town central bus station at noon. The probability that bus B will be late is 725 and the probability that bus A is late is 0.2 and the probability that the bus B is late given that bus A is late is 910. Then,

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Important Questions on Probability II

MEDIUM
JEE Main/Advance
IMPORTANT
A fair coin is tossed 99 times. Let X be the number of times heads occurs. Then PX=r is maximum when r is,
HARD
JEE Main/Advance
IMPORTANT
The probability of choosing an integer 'k' out of 2m integers 1,2,3,..,2m is inversely proportional to k41km. If x1 is the probability that chosen number is odd and x2 is the probability that chosen number is even, then
HARD
JEE Main/Advance
IMPORTANT

A lot contains 50 defective and 50 non-defective bulbs.Two bulbs are drawn at random, one at a time, with replacement.The events A, B & C are defined as follows:

A= (first bulbs is defective)

B= (second bulb is non-defective)

C= (two bulbs are both defective or both non-defective)

Then,

HARD
JEE Main/Advance
IMPORTANT
If two loaded dice each have the property that 2 or 4 is three times as likely to appear as 1, 3, 5, or 6 on each roll. When two such dice are rolled, the probability of obtaining a total of 7 is p, then the value of 1p is, where x represents the greatest integer less than or equal to x.
MEDIUM
JEE Main/Advance
IMPORTANT
An urn contains three red balls and n white balls. Mr. A draws two balls together from the urn. The probability that they have the same colour is 12.Mr. B draws one balls from the urn, notes its colour and replaces it. He then draws a second ball from the urn and finds that both balls have the same colour is 58. The possible value of n is______________.
EASY
JEE Main/Advance
IMPORTANT
Suppose A and B are two events with PA=0.5 and PA  B=0.8. Let PB=p if A and B are mutually exclusive and PB=q if A and B are independent events, then the value of qp is,
HARD
JEE Main/Advance
IMPORTANT
Thirty-two players ranked 1 to 32 are playing in a knockout tournament. Assume that in every match between any two players, the better ranked player wins. The probability that ranked 1 and ranked 2 players are winner and runner up respectively is p, then the value of 2p is, where . represents the greatest integer function,
EASY
JEE Main/Advance
IMPORTANT
If A and B are two events such that PA=0.6 and PB=0.8, if the greatest value that PAB can have is p, then the value of 8p is,