SOLUTION: If two cards are drawn without replacement from an ordinary deck, find the probabilities of the following results. Q. The second is a heart, given that the first is a heart.

Question 724790: If two cards are drawn without replacement from an ordinary deck, find the probabilities of the following results.
Q. The second is a heart, given that the first is a heart.
This question asks me to solve for
P(Second is a heart given that the first is a heart)= P(E and F)/ P(F)
I tried solving the first part "The second is a heart"
by doing this way. Let E: second is a heart
P(E) = 13/52.
At this stage, i'm completely lost how to get the second part " given that the first is a heart"

In this case, what should i do?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If two cards are drawn without replacement from an ordinary deck, find the probabilities of the following results.
Q. The second is a heart, given that the first is a heart.
This question asks me to solve for
P(Second is a heart given that the first is a heart)= P(E and F)/ P(F)
I tried solving the first part "The second is a heart"
by doing this way. Let E: second is a heart
P(E) = 13/52.
At this stage, i'm completely lost how to get the second part " given that the first is a heart"
-----
P(heart AND heart) = 13C2/52C2 = 1/17
---
P(heart|heart) = (1/17)/(13/52) = (1/17)(52/13) = 0.2353
--------------------------------------
Cheers,
Stan H.
=============

RELATED QUESTIONS
Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the... (answered by Fombitz)

Question Help Two cards are drawn without replacement from an ordinary deck. Find the... (answered by MathLover1)

If two cards are drawn without replacement from an ordinary deck, Find the probability of (answered by Fombitz)

If two cards are drawn without replacement from an ordinary�deck, find the... (answered by Fombitz,Alan3354)

Three cards are drawn from an ordinary deck without replacement. Find the probability of... (answered by Alan3354)

25. Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the... (answered by stanbon,whistler68)

Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What... (answered by stanbon)

Three cards are drawn from an ordinary deck without replacement what is the probability... (answered by Alan3354)

Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What... (answered by Alan3354)