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JEE Advanced Statistics and Probability — practice questions — page 5

Explore 125 free Statistics and Probability questions in JEE Advanced 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 121–125 of 125.

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

A and B are mutually exclusive, P(not A) = 0.65 and P(A or B) = 0.85. Then P(B) equals:

  1. 0.20 exactly
  2. 0.35 exactly
  3. 0.65 exactly
  4. 0.50 exactly
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Correct answer: D. 0.50 exactly

1. From the complement rule, P(A) = 1 - 0.65 = 0.35. 2. Mutually exclusive events give P(A or B) = P(A) + P(B). 3. So P(B) = 0.85 - 0.35 = 0.50. _Source: syllabus Mathematics, Ch 14 'Probability' (kemh114)_

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One card is drawn from a pack of 52. The probability that it is a red king is:

  1. 1/26 of draws
  2. 1/13 of draws
  3. 1/52 of draws
  4. 2/13 of draws
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Correct answer: A. 1/26 of draws

1. The red kings are the king of hearts and the king of diamonds: 2 cards. 2. All 52 cards are equally likely. 3. P(red king) = 2/52 = 1/26. _Source: syllabus Mathematics, Ch 14 'Probability' (kemh114)_

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A fair coin is tossed three times. The probability of getting exactly two heads is:

  1. 1/8 of trials
  2. 1/2 of trials
  3. 3/8 of trials
  4. 1/4 of trials
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Correct answer: C. 3/8 of trials

1. The 8 outcomes are equally likely. 2. Exactly two heads occurs as HHT, HTH and THH: 3 outcomes. 3. P(exactly two heads) = 3/8. _Source: syllabus Mathematics, Ch 14 'Probability' (kemh114)_

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