alleryA ticket bears a uniformly chosen integer from 10 to 99. Find P(a square number).
- 1/10
- 1/15
- 1/9
- 1/18
Show answer and solution
Correct answer: B. 1/15
The six squares from 16 through 81 are six of the 90 two-digit positive integers.
ICSE Class 10 Statistics and Probability — practice questions — page 3
Explore 112 free Statistics and Probability questions in ICSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Statistics and Probability with Quill →Statistics and Probability questions and exercises with answers
Showing questions 61–90 of 112.
A ticket bears a uniformly chosen integer from 10 to 99. Find P(a square number).Read the answer and worked solution →Tickets 1 to 40 are equally likely. Find P(a multiple of 6).Read the answer and worked solution →A spinner's landing angle is uniform over 360 degrees. Find P(a marked 90-degree sector).Read the answer and worked solution →Remove all 4 green balls from 5 red, 4 green and 3 blue. Draw uniformly. Find P(blue).Read the answer and worked solution →Remove both black queens from a standard 52-card pack. Draw uniformly. Find P(a J, Q or K).Read the answer and worked solution →Pick uniformly from -3, -2, -1, 0, 1, 2, 3. What is P(the square is less than 4)?Read the answer and worked solution →Choose an integer uniformly from -5 to 5 inclusive. Find P(its reciprocal exists).Read the answer and worked solution →Pick a letter position uniformly in MISSISSIPPI. What is P(a consonant)?Read the answer and worked solution →Exactly three outcomes have probabilities 1/2, 1/3 and p. Find p.Read the answer and worked solution →A fair die's six faces read 1, 1, 2, 3, 5, 8. What is P(a prime score)?Read the answer and worked solution →A random two-digit positive integer has matching digits with what probability?Read the answer and worked solution →Red-blue bag, uniform draw: P(blue)=1/3; adding 4 blue makes it 1/2. Original total?Read the answer and worked solution →Uniform red-blue bag draws: P(blue)=2/7; after 3 red are removed, 1/2. Original total?Read the answer and worked solution →Uniform draw from 4 red and n blue balls, n a positive integer: P(red)>2/3. Largest n?Read the answer and worked solution →A fair die's face 6 is relabelled 1; other labels stay. What is P(an odd score)?Read the answer and worked solution →Of 20 tokens, 5 losers are removed; 3 winners remain. Draw uniformly from the rest. Find P(win).Read the answer and worked solution →The mean of 4,7,9,x is 8. Find x.Read the answer and worked solution →Ten scores average 20. A score entered as 32 should be 12. Correct mean?Read the answer and worked solution →20 pupils average 15 marks; 30 average 20. Combined mean?Read the answer and worked solution →Four scores average 10. Adding a fifth makes the mean 12. Fifth score?Read the answer and worked solution →Five values average 12. Remove the value 20. New mean?Read the answer and worked solution →Every observation is increased by 3. How does the mean change?Read the answer and worked solution →All scores are multiplied by 2. The original mean is 9. New mean?Read the answer and worked solution →For any data set, what is the sum of deviations from its arithmetic mean?Read the answer and worked solution →Five values average 12. Using A=10, find Σ(x−A).Read the answer and worked solution →Use u=(x−20)/5. If Σf=10 and Σfu=6, what is the mean?Read the answer and worked solution →Why is a mean from class midpoints usually an estimate?Read the answer and worked solution →Values 2,6 have frequencies 3,k. Their mean is 5. Find k.Read the answer and worked solution →Every score is between 10 and 20 inclusive. Which mean is impossible?Read the answer and worked solution →Sorted values 1,x,7,9 have median 6. Find x.Read the answer and worked solution →
Worked practice questions
Tickets 1 to 40 are equally likely. Find P(a multiple of 6).
- 1/6
- 1/5
- 3/20
- 1/4
Show answer and solution
Correct answer: C. 3/20
The six multiples 6, 12, 18, 24, 30 and 36 give six favourable tickets out of forty.
A spinner's landing angle is uniform over 360 degrees. Find P(a marked 90-degree sector).
- 1/4
- 1/2
- 1/3
- 3/4
Show answer and solution
Correct answer: A. 1/4
The marked sector occupies ninety of the 360 equally likely angular degrees.
How to practise
- Choose a Statistics and Probability question and try to work out your answer.
- Open the question to check the correct answer and read its worked solution.
- Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.
Put it into practice
Continue with Statistics and Probability practice for ICSE Class 10. Read explanations as you go. No signup form needed to start.
Practise Statistics and Probability →