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ω is a complex cube root of unity. When an unbiased die is thrown 3 times, if β1, β2, β3 are the numbers appeared on the die, then the probability that β1, β2 and β3 satisfy ωβ1+ωβ2=-ωβ3, is

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Important Questions on Probability

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A non-zero integer x is selected randomly from the set of integers x|-25x25,x0. The probability that x+6135x is
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Out of 40 consecutive integers two integers are drawn at random. The probability that their sum is odd is
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If a proper divisor of the integer 2520 is selected at random, then the probability that it is an odd number is
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A box contains 8 red, 3 white and 9 blue balls. If 3 balls are drawn from the box at random one after the other without replacement, then the probability that they are 2 red balls and 1 white ball is
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A bag B contains 4 white balls and 2 black balls. Another bag C contains 3 white balls and 5 black balls. If one ball is drawn randomly from each bag, then the probability that the two balls drawn are both white is
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From 3n consecutive integers three integers are selected at random. The probability that their sum is divisible by 3 is
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An executive in a company makes on an average 5 telephone calls per hour at a cost of Rs. 2 per call. The probability that in any hour the cost of the calls exceeds a sum of Rs. 4 is
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If A and B are two events such that P(A¯)=0.3, PB=0.4 and PAB¯=0.5, then PBAB¯=