Question

If a die is rolled twice, state the sample space and the successful events if the sum has to be less than 6

Answer 1

Answer:

a die has six possible outcomes I,e 1,2,3,4,5,&6.

we may prepare a table (sample spaces)

of possible outcomes such that

(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)

From above table, we see that the sum of possible outcomes which is less than 6 are (1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(3,1),(3,2),(4,1).