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Rajasthan Board Class 10 (RBSE) Probability — practice questions

Explore 58 free Probability questions in Rajasthan Board Class 10 (RBSE) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Probability questions and exercises with answers

Showing questions 1–30 of 58.

The theoretical probability of an event E is:Read the answer and worked solution →The probability of a sure (certain) event is:Read the answer and worked solution →The probability of an impossible event is:Read the answer and worked solution →The probability of any event E always lies between:Read the answer and worked solution →For any event E, the sum P(E) + P(not E) equals:Read the answer and worked solution →The probability of getting a head when an unbiased coin is tossed once is:Read the answer and worked solution →The probability of getting a 3 when a fair die is rolled once is:Read the answer and worked solution →The probability of getting an even number on a single roll of a fair die is:Read the answer and worked solution →The probability of drawing a red card from a well-shuffled deck of 52 cards is:Read the answer and worked solution →The probability of drawing an ace from a well-shuffled deck of 52 cards is:Read the answer and worked solution →Outcomes that have the same chance of occurring are said to be:Read the answer and worked solution →If the probability of an event is 0.3, the probability of it not happening is:Read the answer and worked solution →The probability of getting a number greater than 6 in a single roll of a die is:Read the answer and worked solution →A fair coin is tossed. What is the probability of getting a head?Read the answer and worked solution →A fair die is rolled. What is the probability of getting an even number?Read the answer and worked solution →What can the probability of an event NOT be?Read the answer and worked solution →If the probability of rain tomorrow is 0.4, what is the probability that it will NOT rain?Read the answer and worked solution →A die is rolled once. What is the probability of getting a number greater than 4?Read the answer and worked solution →A card is drawn at random from a standard deck. What is the probability of getting a king?Read the answer and worked solution →A card is drawn from a deck. What is the probability of a red face card?Read the answer and worked solution →Two dice are rolled. What is the probability of getting a sum of 8?Read the answer and worked solution →A bag has 4 red, 5 green and 6 blue balls. A ball is drawn at random. P(green)?Read the answer and worked solution →Two coins are tossed. What is the probability of getting exactly one head?Read the answer and worked solution →A card is drawn from a deck. What is the probability that it is neither a king nor a queen?Read the answer and worked solution →A bag has 4 red and 6 blue balls. One ball is drawn at random. What is the probability that it is NOT red?Read the answer and worked solution →A box has cards numbered 1 to 20. One card is drawn. What is the probability that the number is a perfect square?Read the answer and worked solution →A die is rolled. What is the probability of getting a prime number?Read the answer and worked solution →A card is drawn from a deck. What is the probability of getting a heart or a king?Read the answer and worked solution →Two dice are rolled. What is the probability that the product of the numbers is 12?Read the answer and worked solution →A box has 100 bulbs of which 4 are defective. One bulb is chosen at random. What is the probability that it is not defective?Read the answer and worked solution →

Worked practice questions

The theoretical probability of an event E is:

  1. 1 − favourable outcomes
  2. (number of favourable outcomes) / (total number of outcomes)
  3. (favourable outcomes) × (total outcomes)
  4. (total outcomes) / (favourable outcomes)
Show answer and solution

Correct answer: B. (number of favourable outcomes) / (total number of outcomes)

P(E) = favourable outcomes / total outcomes.

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The probability of a sure (certain) event is:

  1. between 0 and 1
  2. 1
  3. 0
  4. 0.5
Show answer and solution

Correct answer: B. 1

A sure event always happens, so P = 1.

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The probability of an impossible event is:

  1. 0
  2. 1
  3. negative
  4. 0.5
Show answer and solution

Correct answer: A. 0

An impossible event never happens, so P = 0.

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