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Karnataka PUC I Statistics and Probability — practice questions — page 2

Explore 49 free Statistics and Probability questions in Karnataka PUC I Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Statistics and Probability questions and exercises with answers

Showing questions 31–49 of 49.

In set notation, the event 'A occurs but B does not occur' is written as:Read the answer and worked solution →Events E1, E2, ..., En of a sample space are called exhaustive when:Read the answer and worked solution →Two dice are thrown together. The total number of outcomes in the sample space is:Read the answer and worked solution →Under the axiomatic approach, the probability of the sure event S equals:Read the answer and worked solution →For two events, P(A) = 0.44, P(B) = 0.46 and P(A and B) = 0.16. Then P(A or B) is:Read the answer and worked solution →With P(A) = 0.44, P(B) = 0.46 and P(A and B) = 0.16, the probability that neither A nor B occurs is:Read the answer and worked solution →Given P(A or B) = 0.8, P(A) = 0.5 and P(A and B) = 0.2, the value of P(B) is:Read the answer and worked solution →One card is drawn from a pack of 52. The probability that it is a spade or an ace is:Read the answer and worked solution →Two dice are thrown. The probability that the sum of the numbers is 8 equals:Read the answer and worked solution →For any two events A and B, the probability that neither occurs always equals:Read the answer and worked solution →Two dice are thrown together. The probability of getting a doublet is:Read the answer and worked solution →One card is drawn from a pack of 52. The probability that it is neither a king nor a queen is:Read the answer and worked solution →A, B and C are mutually exclusive and exhaustive with P(A) = 1/2 and P(B) = 1/3. Then P(C) equals:Read the answer and worked solution →A fair coin is tossed three times. The probability of getting at least one head is:Read the answer and worked solution →A and B are mutually exclusive, P(not A) = 0.65 and P(A or B) = 0.85. Then P(B) equals:Read the answer and worked solution →One card is drawn from a pack of 52. The probability that it is a red king is:Read the answer and worked solution →A fair coin is tossed three times. The probability of getting exactly two heads is:Read the answer and worked solution →Two dice are thrown. The probability that the sum of the numbers is at most 4 is:Read the answer and worked solution →For two events, P(A) = 0.54, P(B) = 0.69 and P(A and B) = 0.35. The probability that A occurs but B does not is:Read the answer and worked solution →

Worked practice questions

In set notation, the event 'A occurs but B does not occur' is written as:

  1. A union B as a whole
  2. B minus the whole set A
  3. A intersect B-complement
  4. The complement of A union B
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Correct answer: C. A intersect B-complement

1. A must occur, so we stay inside the set A. 2. B must fail, so we intersect with the complement of B. 3. The event is A intersect B', often written A minus B. _Source: syllabus Mathematics, Ch 14 'Probability' (kemh114)_

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Events E1, E2, ..., En of a sample space are called exhaustive when:

  1. Each pair of them is disjoint
  2. Each has the same probability
  3. Each contains one sample point
  4. At least one of them must occur
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Correct answer: D. At least one of them must occur

1. Exhaustive means the events together cover the whole sample space. 2. Their union is S, so no outcome falls outside all of them. 3. Equivalently, at least one of the events necessarily occurs in every trial. _Source: syllabus Mathematics, Ch 14 'Probability' (kemh114)_

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Two dice are thrown together. The total number of outcomes in the sample space is:

  1. 12 ordered pairs
  2. 24 ordered pairs
  3. 36 ordered pairs
  4. 30 ordered pairs
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Correct answer: C. 36 ordered pairs

1. Each die independently shows one of 6 faces. 2. Ordered pairs multiply: 6 x 6. 3. The sample space has 36 outcomes. _Source: syllabus Mathematics, Ch 14 'Probability' (kemh114)_

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