A red die is tossed and then a greendieis tossed. What is the probability thatthe red die shows an even number andthe green die shows an even number?Make sure your answer is reduced.

Given: A red and a green dice are tossed.
To find: The probability that the red and green dice show an even number.
Explanantion: Total number of even numbers on a dice are E= 3 (2,4 and 6)
and the total numbers on a dice are N=6.
Therefore, the probability of getting an even number is E/N
=3/6
=1/2
Now, the probability of getting an even number on the red dice is 1/2.
Similalry, the probabiltiy of getitng an even number on the green dice is 1/2.
Therefore the probality of getting an even number on red and green dice is =
[tex]\begin{gathered} P=\frac{1}{2}\times\frac{1}{2} \\ =\frac{1}{4} \end{gathered}[/tex]therfore, the probability is 1/4.
Final answer: The probaility is 1/4.