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Maths The Mathematics of Maybe: Introduction to Probability Class 9 [Ganita] Assertion and Reason Questions

Assertion Reasoning Quiz · Class 9 · Maths · CBSE

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Chapter 7 - The Mathematics of Maybe: Introduction to Probability | 7 questions | about 6 minutes

Practise The Mathematics of Maybe: Introduction to Probability Class 9 [Ganita] with Teachoo's Assertion Reasoning Quiz (Class 9 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 7
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Question 1 of 7
Assertion: To estimate the favourite sport of all students in a school, surveying only students enrolled in basketball coaching gives a representative sample.
Reason: A representative sample should include students from different grades, sections and interest groups rather than over-representing one group.
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Question 2 of 7
Assertion: After a fair coin has shown heads six times in a row, the probability of tails on the next toss is still \(\frac12\).
Reason: Over a very large number of tosses, the relative frequencies of heads and tails tend to become close to \(\frac12\).
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Question 3 of 7
Assertion (A): If a die is rolled 100 times and '4' appears 25 times, the experimental probability of rolling a '4' is \( \frac{1}{4} \).
Reason (R): Experimental probability is calculated as the number of times the event occurred divided by the total number of trials.
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Question 4 of 7
Assertion: A fair die is rolled \(12\) times and shows \(3\) on \(3\) trials. Its experimental probability of showing \(3\) is \(\frac14\), while its theoretical probability is \(\frac16\).
Reason: For a fair die, experimental probability and theoretical probability must be equal in every set of trials.
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Question 5 of 7
Assertion (A): A bag has 3 red and 4 blue balls. If two balls are drawn one after another without replacement, the probability of drawing two red balls is \( \frac{1}{7} \).
Reason (R): The probability of the first red ball is \( \frac{3}{7} \), and the second is \( \frac{2}{6} \). The combined probability is \( \frac{3}{7} \times \frac{2}{6} = \frac{1}{7} \).
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Question 6 of 7
Assertion: If a fair coin gives \(8\) heads in \(10\) tosses, this result alone does not prove that the coin is biased.
Reason: Experimental probability may differ noticeably from theoretical probability when the number of trials is small, and it generally tends to move closer to the theoretical probability as the number of trials increases.
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Question 7 of 7
r = 2mSide = 4m

Assertion (A): A dart is thrown at random and hits the square board above. The probability of the dart landing inside the yellow circle is \( \frac{\pi}{4} \).

Reason (R): The probability is the ratio of the Area of the circle (4π sq m) to the Area of the square (16 sq m).

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