Question

Alfred draws candles randomly from a pack containing 4 coloring candles of the same shape and size . There are 2 red candles, 1 green candle, And 1 Blue Candle. He Draws 1 candle followed by another red candle, And Show The Equation used.

Answer 1

Answer:

         $\large\boxed{\large\boxed{1/6}}$

Explanation:

Some parts of the question are missing.

The complete question is:

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.

Solution to the problem

The probability of picking 1 red candle followed by another red candle is the product of the probabilities of each event, taking into account that the second time the sample space is different (because there is no replacement).

1. Probability of picking 1 red candle in the first drawing:

• Number of red candles / number of candles = 2/4 = 1/2

2. Probability of picking 1 red candle in the second drawing:

• Number of red candles / number of candles = 1/3

3. Probability of picking 1 red candle followed by another red candle:

• Equation: (1/2)×(1/3) = 1/6