1. A fair coin is tossed once. How many outcomes are there in the sample space?
- A1
- B2
- C3
- D4
Show answer
Answer: B) 2
Tossing one coin gives Head or Tail, so the sample space is {H, T} with 2 outcomes.
Class 10 Sample Space and Events — practice questions with answers
Statistics · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. When a die is rolled, which set of outcomes represents the event 'a multiple of 3'?
- A{3}
- B{3, 6}
- C{2, 3, 6}
- D{1, 3, 6}
Show answer
Answer: B) {3, 6}
Multiples of 3 between 1 and 6 are 3 and 6.
3. A number is chosen at random from the integers 1 to 20. How many outcomes are in the sample space?
- A20
- B40
- C22
- D18
Show answer
Answer: A) 20
The integers 1, 2, ..., 20 give 20 equally likely outcomes.
4. A restaurant thali lets a guest pick one sabzi from {aloo, gobi, bhindi} and one bread from {roti, naan}.
How many different thali combinations form the sample space?
How many different thali combinations form the sample space?
- A5
- B6
- C8
- D9
Show answer
Answer: B) 6
3 sabzi choices x 2 bread choices = 6 combinations.
5. Two dice are rolled and the sum is recorded. List the distinct possible sums.
How many distinct sum-values are in this sample space (of sums)?
How many distinct sum-values are in this sample space (of sums)?
- A10
- B11
- C12
- D36
Show answer
Answer: B) 11
The smallest sum is 2 and the largest is 12; the distinct sums are 2,3,...,12, which is 11 values.
Practise all 50 questions free →
10 free questions a day without an account — unlimited with a free account.