In a game of blackjack, each player is dealt two cards from a standard 52-card deck. If the first card is 10 of clubs, what is the probability that the second card is heart?

Assuming the player does not get to see the open cards of others, there are 51 unseen cards of which 13 are hearts.

What is the probability?

To find the probability of getting a heart as the second card given that the first card is the 10 of clubs, we need to determine the number of favorable outcomes and the number of possible outcomes.

First, let's calculate the number of favorable outcomes. Since the first card is the 10 of clubs, there are 51 cards remaining in the deck, and 13 of them are hearts.

Next, let's calculate the number of possible outcomes. Given that the first card is the 10 of clubs, there are 51 cards left in the deck.

Therefore, the probability of drawing a heart as the second card, given that the first card is the 10 of clubs, is:

Number of favorable outcomes / Number of possible outcomes
= 13 hearts / 51 remaining cards
≈ 0.2549 or 25.49% (rounded to 2 decimal places).

So, the probability of drawing a heart as the second card is approximately 0.2549 or 25.49%.