Start learning →

JEE Main Statistics and Probability — practice questions — page 5

Explore 179 free Statistics and Probability questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Statistics and Probability with Quill →

Statistics and Probability questions and exercises with answers

Showing questions 121–150 of 179.

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 →Mean, median and mode are the three measures of:Read the answer and worked solution →How many measures of central tendency are recalled?Read the answer and worked solution →To find the median you must first arrange the data in:Read the answer and worked solution →If the number of observations is odd, the median is the:Read the answer and worked solution →If the number of observations is even, the median is the mean of the:Read the answer and worked solution →The range of a series is the maximum value minus the:Read the answer and worked solution →Whose scores were the more scattered?Read the answer and worked solution →How many measures of dispersion are listed?Read the answer and worked solution →Which measure of dispersion is left out of the study?Read the answer and worked solution →Which of these is a measure of dispersion?Read the answer and worked solution →The range gives only a rough idea of:Read the answer and worked solution →The measure of variability that is independent of units is the:Read the answer and worked solution →The coefficient of variation is which ratio times 100?Read the answer and worked solution →The coefficient of variation requires that the mean is not:Read the answer and worked solution →A series with the greater coefficient of variation is more:Read the answer and worked solution →A series with the lesser coefficient of variation is more:Read the answer and worked solution →For grouped data, standard deviation is found by replacing each class by its:Read the answer and worked solution →Which of these is NOT a measure of central tendency?Read the answer and worked solution →Comparing series measured in different units needs a measure independent of:Read the answer and worked solution →Dispersion is measured on the basis of the observations and the:Read the answer and worked solution →Central tendency or dispersionRead the answer and worked solution →Work out the rangesRead the answer and worked solution →Order the steps to find a medianRead the answer and worked solution →Match each term to its meaningRead the answer and worked solution →True or false on statisticsRead 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
Show answer and solution

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)_

Open this question →

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
Show answer and solution

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)_

Open this question →

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
Show answer and solution

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)_

Open this question →

How to practise

  1. Choose a Statistics and Probability question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Statistics and Probability practice for JEE Main. Read explanations as you go. No signup form needed to start.

Practise Statistics and Probability →

More Mathematics topics

DeterminantsVector Algebra and 3D GeometryContinuity, Differentiability & DerivativesDifferential EquationsIntegrals and ApplicationsMatrices and DeterminantsRelations, Functions & Inverse TrigonometryStraight Lines and Conic Sections