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If probability that exactly one of events A, B, C occurs, is 0.6 and probability that none of A, B, C occur is 0.2 then probability that atleast two of A, B, C occur is

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Important Questions on Probability

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JEE Main/Advance
IMPORTANT
The odds that a book will be favourably reviewed by three independent critics are 5 to 2, 4 to 3, and 3 to 4, respectively. Then the probability that of the three reviews a majority will be favourable.
HARD
JEE Main/Advance
IMPORTANT
In throwing a pair of dice, the events coming up of 6 on 1st dice and a total of 7 on both the dice are
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JEE Main/Advance
IMPORTANT
A dice is thrown twice and the sum of the numbers appearing is observed to be 8. The conditional probability that the number 5 has appeared at least once is
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JEE Main/Advance
IMPORTANT
An instrument consists of two units. Each unit must function for the instrument to operate. The reliability of the first unit is 0.9 and that of the second unit is 0.8. The instrument is tested & fails. The probability that only the first unit failed & the second unit sound is
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JEE Main/Advance
IMPORTANT
A pack of cards is counted with face downwards. It is found that one card is missing. One card is drawn and is found to be red. Then the probability that the missing card is red.
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JEE Main/Advance
IMPORTANT
Pal's gardner is not dependable, the probability that he will forgot to water the rose bush is 23. The rose bush is in questionable condition. Anyhow, if watered, the probability of its withering is 12 & if not watered then the probability of its withering is 34. Pal went out of station & after returning, he finds that rose bush has withered. Then the probability that the Gardner did not water the rose bush is
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JEE Main/Advance
IMPORTANT

A dice is weighted so that the probability of different faces to turn up is as given

Number 1 2 3 4 5 6
Probability 0.2 0.1 0.1 0.3 0.1 0.2

If PAB=p1 and PBC=p2 and PCA=p3, then the values of p1, p2, p3, respectively are Take the events A, B & C as A=1,2,3, B=2,3,5 and C=2,4,6.

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JEE Main/Advance
IMPORTANT
A bag contains 2 white & 4 black balls. A ball is drawn 5 times, each being replaced before another is drawn. The probability that at least 4 of the balls drawn are white is