Question

Alfred draws candles randomly from a pack containing four colored candles of the same size and shape. There are two red candles one green candle and one blue candle. He draws one Candle and then draws another candle without replacing the first one. Find the probability of picking one red candle followed by another red candle and show the equation used.

Answer 1

2 red, 1 green, 1 blue...total of 4 (sample space 4)

P(drawing red) = 2/4, which reduces to 1/2
without replacing....(now we have sample space of 3, and 1 more red)
P(drawing red) = 1/3

P(both) = 1/2 * 1/3 = 1/6