Question

If two cards are drawn without replacement from a deck, find a probability that the second card is a heart, given that the first card with the heart.

Answer 1

Given

If two cards are drawn without replacement from a deck.

To find the probability that the second card is a heart, given that the first card is also a heart.

Step-by-step explanation:

It is given that,

Two cards are chosen randomly from a deck of 52 cards.

Then, the number of hearts in the card is,

`\begin{gathered} Number\text{ }of\text{ }hearts=(52)/(4) \\ =13 \end{gathered}`

Since the first card chosen is a heart.

Then, the number of cards from which the second card is taken is, 12 and the total cards will be 51.

Therefore, the probability that the second card is a heart is,

`\begin{gathered} P(second\text{ }card\text{ }to\text{ }be\text{ }heart)=(n(A))/(n(S)) \\ =(12)/(51) \end{gathered}`