Question

Question 2 Describe the sample space for the indicated experiment: A die is thrown two times.

Class X1 - Maths -Probability Page 386

Answer 1

if A die is thrown , then the outcome may be any number from 1 to 6 .
so, Total number of sample space = 6 × 6 = 36
S =
$(1,1), (1,2),(1,3),(1,4),(1,5),(1,6)\\(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)\\(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)\\(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)\\(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)\\(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)$

Answer 2

Step-by-step explanation:

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 the sample space is given by 6 * 6 = 36

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),(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)}