Question

A coin is tossed and a dice is rolled simultenuesously. Write the sample space S and n(S)

Answer 1

Solution:

For a coin, $2$ possible result = { Head , Tail }

For a die ( 6 sided ), $6$ possible result $=1,2,3,4,5,6$

Now when coin is tossed and a die is rolled simultaneously, $(2\times 6)=12$ possible result = sample spaces

{Head,1} , {Head,2} , {Head,3} , {Head,4} , {Head,5} , {Head,6} , {Tail,1} , {Tail,2} , {Tail,3} , {Tail,4} , {Tail,5} , {Tail,6}

$n\left(s\right)=12$