 QUESTION

# Example 1: Consider another example where a pack contains 4 blue, 2 red and 3 black pens. If a pen is drawn at random from the pack, replaced and the process repeated 2 more times, What is the probab

Example 1:

Consider another example where a pack contains 4 blue, 2 red and 3 black pens. If a pen is drawn at random from the pack, replaced and the process repeated 2 more times, What is the probability of drawing 2 blue pens and 1 black pen?

Example 2:

What is the probability of drawing a king and a queen consecutively from a deck of 52 cards, without replacement.

• @
• 9 orders completed

Solution 1;

Here, total number of pens = 9

Probability of drawing 1 blue pen = 4/9Probability of drawing another blue pen = 4/9Probability of drawing 1 black pen = 3/9Probability of drawing 2 blue pens and 1 black pen = 4/9 * 4/9 * 3/9 = 48/729 = 16/243

Solution 2;

Probability of drawing a king = 4/52 = 1/13

After drawing one card, the number of cards are 51.

Probability of drawing a queen = 4/51.

Now, the probability of drawing a king and queen consecutively is 1/13 * 4/51 = 4/663