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What is the probability that after pulling out of a card deck 3 heart cards, that the 4th card will be also a heart? There are 52 cards in the deck and there is no replacement.
$$P(4\text{th heart} | 3 \text{ first hearts}) = \frac{P(4\text{th heart}\cap 3\text{ first hearts})}{P(3\text{ firsthearts})}$$
How do you calculate this probability: $P(4\text{th heart}\cap 3\text{ first hearts})$
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Rocky D.
What is the probability of drawing a heart from a deck of cards on the first draw and not drawing a heart on the second draw without replacement?
1 Expert Answer
First, we have to find the probability of drawing a heart. So we know that in a 52 card deck, there are 13 hearts, so our probability of drawing a heart on the first try is 13/52. So now, we are left with 51 cards after drawing a heart, so we would have 12/51 cards be hearts, while the rest (39/51) are non-hearts. So P(H N Non-H)= P(H)*P(Non-H|H)= 13/52*39/51= 507/2652 = 13/68. I hope this helped.