Question

2. Two cards are drawn without replacement from standard deck of 52 cards. What is the probability that the firstcard is a seven and the second card is a six and are these events independent?

Answer 1

Given: Two cards are drawn without replacement from a standard deck of 52 cards.

The first card is a seven and the second card is a six.

The number of cards with a seven = 4

So, the probability of a first card is a seven = 4/52 = 1/13

The number of cards after drawn a seven = 52 - 1 = 51

The number of cards with a six = 4

So, the probability of a second card is a six = 4/51

So, the probability that the first card is a seven and the second card is a six =

$\frac{1}{13}\cdot\frac{4}{51}=\frac{1\cdot4}{13\cdot51}=\frac{4}{663}$

So, the answer will be option 2

4/663; No, they are dependent events.