Question

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.

Answer 1

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 =

`\begin{gathered} P=(1)/(2)*(1)/(2) \\ =(1)/(4) \end{gathered}`

therfore, the probability is 1/4.

Final answer: The probaility is 1/4.