Answer to Question #17454 in Abstract Algebra for sarthak gautam

Question

Of three cards, one is painted red on both sides; one is painted black on both sides; and one is
painted red on one side and black on the other. A card is randomly chosen and placed on a table. If
the side facing up is red, what is the probability that the other-side is also red?

Answer 1

There are two possible results: the other side may be red (if the scored card is painted red on both sides) or other side may be black (if the scored card is painted red on one side and black on the other). So, the probability that the other-side is also red is 1/2.