another probability question

Question

find the probability of drawing a red card and a spade when two cards are drawn without a replacement from a standard deck of cards

Answer 1

P = (1 / 4)(13 / 52)

Answer 2

There are 13 hearts and 13 diamonds (total 26 red cards) in a 52-card deck.

There are 13 spades.

On the 1st draw the chance of a red card being drawn is 26/52.

Since there is no replacement, there are now 51 cards left.

Chance of a spade is therefore 13/51.

P(R and S) = P(R)•P(S|R), so you'll need to multiply the two fractions.

Because the 1st card is not replaced, the events are dependent.