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Karnataka SSLC (Class 10) Probability — practice questions

Explore 38 free Probability questions in Karnataka SSLC (Class 10) 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 38.

The probability of an event $E$ is defined asRead the answer and worked solution →The probability of a sure (certain) event isRead the answer and worked solution →The probability of an impossible event isRead the answer and worked solution →The probability $P(E)$ of any event always liesRead the answer and worked solution →For an event $E$ and its complement $\overline{E}$ (not E),Read the answer and worked solution →The probability of getting a head when a fair coin is tossed once isRead the answer and worked solution →A die is rolled once. The probability of getting the number 3 isRead the answer and worked solution →A die is rolled once. The probability of getting an even number isRead the answer and worked solution →If $P(E) = 0.35$, then $P(\text{not } E)$ isRead the answer and worked solution →One card is drawn from a well-shuffled deck of 52 cards. The probability that it is a red card isRead the answer and worked solution →A bag has 3 red and 2 blue balls. The probability of drawing a red ball at random isRead the answer and worked solution →A die is rolled once. The probability of getting a number less than 7 isRead the answer and worked solution →Complete the definition of conditional probabilityRead the answer and worked solution →True or false: conditional probabilityRead the answer and worked solution →Independent or mutually exclusive?Read the answer and worked solution →Match each rule to its nameRead the answer and worked solution →IndependenceRead the answer and worked solution →Order the steps for a Bayes' theorem questionRead the answer and worked solution →Complete the conditions for a partitionRead the answer and worked solution →True or false: independence versus exclusivityRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Tap every statement that follows from independenceRead the answer and worked solution →The multiplication ruleRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Complete the theorem of total probabilityRead the answer and worked solution →Which theorem answers which question?Read the answer and worked solution →True or false: total probability and BayesRead the answer and worked solution →Match each historical figure to their contributionRead the answer and worked solution →

Worked practice questions

The probability of an event $E$ is defined as

  1. favourable outcomes / total outcomes
  2. total outcomes / favourable outcomes
  3. favourable outcomes / unfavourable ones
  4. total outcomes / the sample space size
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Correct answer: A. favourable outcomes / total outcomes

1. For equally likely outcomes, probability compares favourable cases to all cases. 2. $P(E) = \dfrac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$. 3. This is the classical (theoretical) definition of probability. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch14 'Probability', §14.1_

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The probability of a sure (certain) event is

  1. 0
  2. $\dfrac12$
  3. between 1 and 2
  4. 1
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Correct answer: D. 1

1. A sure event always occurs, so all outcomes are favourable. 2. Its probability is $\dfrac{n}{n} = 1$. 3. So P(sure event) = 1. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch14 'Probability', §14.1_

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The probability of an impossible event is

  1. 0
  2. 1
  3. $\dfrac12$
  4. -1
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Correct answer: A. 0

1. An impossible event can never occur, so it has no favourable outcomes. 2. Its probability is $\dfrac{0}{n} = 0$. 3. So P(impossible event) = 0. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch14 'Probability', §14.1_

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