Question

In how many ways can 2 cards be drawn from a full pack of 52 cards such that both the cards are red.

Answer 1

Given:

2 cards be drawn from a full pack of 52 cards such that both the cards are red.

To find:

In how many ways can 2 cards be drawn from a full pack of 52 cards such that both the cards are red.

Solution:

From given, we have,

There are a total of 26 red cards in a pack of 52.

The probability of selecting a red card from the pack is

P (1) = 26/52.

After this selection of a red card there will be 25 red cards in a pack of 51.

The probability of selecting a red card now would be

P (2) = 25/51.

As each of the selection is independent the overall probability of selecting 2 red cards

So the overall probability is

P (1) × P (2)

= 26/52 × 25/51

= 650/2652

Therefore, 650/2652 is the probability.

The number of ways is

26C2 = (26 × 25)/(1 × 2) = 325 ways