Alfred draws candles randomly from a pack containing 4 colored candles of the same shape and size. There are 2 red candles, 1 green candle, and 1 blue candle. He draws 1 candle and then draws another candle without replacing the first one. Find the probability of picking 1 red candle followed by another red candle, and show the equation used.

The answer is 1/6.

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur.

Before the first draw, there are 4 colored candles: 2 red candles, 1 green candle, and 1 blue candle.

The probability to draw 1 red candle at the first draw is:

P₁ = 2/4 = 1/2

Before the second draw, there are 3 colored candles: 1 red candle, 1 green candle, and 1 blue candle, because 1 red candle is already drawn out. The probability to draw 1 red candle at the second draw is:

P ₂ = 1/3

Now, we have two events occurring together:

1. T he probability of picking 1 red candle at the first draw: P₁ = 1/2

2. The probability of picking 1 red candle at the first draw: P₂ = 1/3

Therefore, the probability of picking 1 red candle followed by another red candle is 1/6:

P = P₁ · P₂ = 1/2 · 1/3 = 1/6