The Mathematics of Maybe : Introduction to Probability — Practice Quiz
CBSE · Class 9 · Mathematics
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Quick Quiz: The Mathematics of Maybe : Introduction to Probability
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A fair coin is tossed two times. What is the probability of getting HH?
A die is rolled 50 times and it lands on 4 exactly 8 times. What is the experimental probability of rolling a 4?
A class survey of 50 students shows that 20 students like mango as their favourite fruit. If the school has 1500 students and the same pattern is used, about how many students would like mango?
A fair die shows 4 eight times in a row. What is the probability of getting a 4 on the next roll?
Sample Questions
Two fair coins are tossed together. What is the probability of getting at least one head?
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3/4
The sample space is {HH, HT, TH, TT}. At least one head occurs in HH, HT, and TH. So favourable outcomes = 3 and total outcomes = 4. Probability = 3/4.
A letter is picked at random from the word PROBABILITY. What is the probability of picking the letter B?
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2/11
The word PROBABILITY has 11 letters and 2 of them are B. So, probability = 2/11 ≈ 0.182 or 18.2%.
A student says, 'I have already rolled three 6s, so I cannot get a 6 again.' Which statement correctly describes this idea?
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It is an example of Gambler's Fallacy, The next roll is still an independent event, A fair die has no memory of past rolls
This belief is wrong because each roll of a fair die is independent. The die has no memory, so the chance of getting 6 remains 1/6 on the next roll.
A fair coin is tossed two times. Which statements about the sample space and event are correct?
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The sample space is {HH, HT, TH, TT}, The event of getting exactly one head is {HT, TH}, An event is a subset of a sample space
For two coin tosses, the sample space has 4 outcomes: {HH, HT, TH, TT}. Exactly one head occurs in HT and TH. An event is a subset of the sample space.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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