Engineering Maths - Probability

1. A positive integer is selected at random and is divided by 7. What is the probability that the remainder is not 1?

  • Option : C
  • Explanation : (C) Desired probability lies in the range of 1-7 only.
    Then, again from 8, remainder starts with a count 1, 2 ....
    Total favourable cases are 7 and in only 1 case remainder is 1. Thus, probability that the remainder is 1 = 1/7.
    ∴ The probability that the remainder is not 1
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2. A card is taken out of a pack of 52 cards numbered 2 to 53. The probability that the numbers on the card is a prime number less than 20 is

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3. The probability of getting a number between 1 and 100. Which is divisible by one and itself only is

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4. If A and B are two elements such that P(A) = 2/3, P(B) = 3/4, P(A ∩ B) = 1/2, then P(A ∪ B) =

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5. If A and B are two events such that P(A ∪ B) = 0.65, P(A ∩ B) = 0.15, then P(A') + P(B') =

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