Answer:
0.5
Step-by-step explanation:
The sample space of a fair six-sided die and a fair four-sided die rolled simultaneously is given below:
[tex](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)\\[/tex]
where in each pair (x,y), x represents the four-sided die and y represents the six sided die.
Total Number of Possible Outcomes =24
Event A is the event that the six-sided die is an even number.
n(A)=12
Therefore, the probability that the six-sided die is an even number:
P(A)=12/24=0.5