Q:

A red die is tossed and then a green die is tossed. What is the probability that the red die shows an even number or the green die shows an even number?

Accepted Solution

A:
Using it's concept, it is found that there is a [tex]\frac{3}{4}[/tex] probability that the red die shows an even number or the green die shows an even number.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.A die has six sides, of which three are even and three are odd, hence:P(A) = 3/6 = 1/2.P(B) = 3/6 = 1.2.P(A and B) = P(A)*P(B) = 1/4.The "or probability" is given by:[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]Hence:[tex]P(A \cup B) = \frac{1}{2} + \frac{1}{2} - \frac{1}{4} = \frac{3}{4}[/tex]More can be learned about probabilities at