Mathematics of Chance — Practice Quiz
Kerala Board · Class 10 · Mathematics
Try a 4-question quiz on Mathematics of Chance for Kerala Board Class 10 Mathematics: tap an answer to check it and see why.
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Quick Quiz: Mathematics of Chance
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A box contains 8 red balls and 4 blue balls. If one ball is picked randomly, what is the probability of getting a red ball?
From numbers 1 to 20, if one number is chosen randomly, what is the probability that it is a multiple of 5?
A circular disc is divided into 6 equal sectors: 2 red, 3 blue, and 1 green. What is the probability of getting blue when the disc is spun?
A bag contains 5 green and 3 yellow marbles. Another bag contains 4 green and 6 yellow marbles. If one marble is drawn from each bag, what is the probability that both are green?
Sample Questions
Which of the following are correct about probability? (Select all correct answers)
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Probability is always between 0 and 1, Probability of an impossible event is 0, Probability of a certain event is 1, Sum of all probabilities in a sample space is 1
Step 1: Probability range is 0 ≤ P(E) ≤ 1 always. Step 2: Impossible events have P = 0. Step 3: Certain events have P = 1. Step 4: Probability cannot exceed 1. Step 5: All probabilities in a sample space sum to 1.
From the digits 1, 2, 3, 4, if two digits are chosen to form a two-digit number, what is the probability that the number is even?
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1/2
Step 1: List all two-digit numbers: 12, 13, 14, 21, 23, 24, 31, 32, 34, 41, 42, 43 = 12 numbers. Step 2: Count even numbers (ending in 2 or 4): 12, 14, 32, 34, 42, 24 = 6 numbers. Step 3: Probability = 6/12 = 1/2.
A rectangle is divided into two equal triangles. If a point is marked randomly inside the rectangle, what is the probability it falls in one specific triangle?
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1/2
Step 1: The rectangle is divided into two equal triangles. Step 2: Each triangle has area = (1/2) × rectangle area. Step 3: Probability = Area of one triangle / Area of rectangle = (1/2 × area) / area = 1/2.
In throwing two dice, which of the following sums are possible? (Select all correct answers)
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Sum = 2, Sum = 7, Sum = 12
Step 1: Minimum sum = 1+1 = 2. Step 2: Maximum sum = 6+6 = 12. Step 3: Sum = 7 is possible (like 3+4). Step 4: Sum = 13 is impossible (exceeds maximum). Step 5: Sum = 1 is impossible (less than minimum).
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.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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