The joint probability table below is based on the following random experiment: There are three coins inside a black box: a Green coin (GG) (both its sides are painted Green) a Red coin (RR) (both its sides are painted Red) a Green and Red coin (GR) (the Heads side is painted Green and the Tails side is painted Red) One coin is drawn at random and then it is tossed and placed on the table. We can see the side of the coin facing up, its "top side", but not the "bottom side" of the coin. Accordingly, the events in the Rows of the table below are BG for "Bottom side is Green" and BR for "Bottom side is Red". Assuming x = 0.2426, y = 0.1649 and w=0.257, find the probability P(BG | TG) i.e., the probability that the Bottom side of the drawn coin is Green given its Top side is Green (noting the z= 1 - x - y - W). Note: Round at the fifth decimal place for this question. GG RR GR "Bottom Side is Green" BG X 0 W "Bottom side is Red" BR 0 y Z