Question

PLEASE HELP!!!!!

Two cards are drawn without replacement from a standard deck of 52
playing cards. What is the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a heart? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

25/51

Explanation:

If the first card was a heart, we've drawn one red card already.

The ratio of black to red cards in the deck is now 26:25.

On the second draw, there will be only 51 cards to choose from, rather than 52 because you have already taken out a card. Therefore, you only have a 25/51 chance of drawing a red card compared to the 26/52 or 1/2 chance on the first draw.

Answer is 25/51.