# In each of the following Exercises 1 to 7, describe the sample space for the indicated experiment: A die is thrown two times

**Solution:**

When a die is thrown, the possible outcomes are 1, 2, 3, 4, 5, or 6.

When a die is thrown two times, the sample space is given by:

S = {(x, y) : x, y ∈ {1, 2, 3, 4, 5, 6} }

The number of elements in this sample space is 6 × 6 = 36, while the sample space is given by:

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

S = (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.1 Question 2

## In each of the following Exercises 1 to 7, describe the sample space for the indicated experiment: A die is thrown two times

**Summary:**

When a dice is thrown two times, the sample space(S) = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}