SOLUTION: 6 cards are randomly drawn from a standard deck of 52 cards. What is the probability that the 6-card hand will include at least one heart?

Algebra.Com
Question 957821: 6 cards are randomly drawn from a standard deck of 52 cards. What is the probability that the 6-card hand will include at least one heart?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let's find the probability it contains no hearts.
Then the complement is the probability you're looking for.

So for 6 cards,


So then,




RELATED QUESTIONS

three cards are drawn from a standard 52 card deck with replacement. What is the... (answered by stanbon)
A 4-card hand is drawn from a standard deck of 52 cards. Find the probability that the... (answered by rothauserc)
A 3-card hand is drawn from a standard deck of 52 playing cards. Find the probability... (answered by stanbon)
Jacob randomly draws 2 cards from a standard deck of 52 cards. He does not replace the... (answered by Fombitz)
Don randomly draws two cards from a standard deck of 52 cards. He does not replace the... (answered by jim_thompson5910)
If you are dealt a 5 card hand from a standard deck of 52 playing cards, what is the... (answered by ewatrrr)
If you are dealt a 5 card hand from a standard deck of 52 pledging cards, what is the... (answered by solver91311)
A card is drawn randomly from a standard deck, then a second card is drawn. What is the... (answered by greenestamps)
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing... (answered by ikleyn)