Question

two number cubes are rolled for two separate events event a is the event that the sum of the numbers on both cubes is less than 10 event B is the event that the sum of the numbers on both cubes is a multiple of 3 List the members of the sample space for event a

Answer 1

The number on the cubes are: 1 , 2 , 3 , 4 , 5 , 6

Event a : the sum of the numbers on both cubes is less than 10

so, members of the sample space for event a is

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

so, the sum of each two number s will be less than 10