A painter has three different jars of paint colors available, in colors green, yellow, and purple. She wants to paint something abstract, so she blindfolds herself, randomly dips her brush, and paints on the canvas. She continues trying paint jars until she finally gets some purple onto the canvas (her assistant will tell her when this happens) and then she stops.
Assume that she does not repeat any of the jars because her assistant removes a jar once it has been used. So the sample space is
S = {(P), (G, P), (R, P), (Y, G, P), (G, Y, P)}.
Find the probabilities of each of the following events:
{(P)}, {(G,P),(R,P)}, {(G,P),(G,R,P)},
{(Y,G,P),(G,Y,P)}, {(P),(Y,P)}