There are 52 cards in a deck, 13 of which are hearts.
The probability of drawing a heart on the first card is 13/52.
After drawing a heart, there are only 51 cards left in the deck, 12 of which are hearts.
The probability of drawing another heart on the second card is 12/51.
After drawing two hearts, there are only 50 cards left in the deck, 11 of which are hearts.
The probability of drawing a third heart is 11/50.
After drawing three hearts, there are only 49 cards left in the deck, 10 of which are hearts.
The probability of drawing a fourth heart is 10/49.
To find the probability of all four cards being hearts, we multiply the probabilities of each individual event:
(13/52) x (12/51) x (11/50) x (10/49) = 0.0026 or 0.26%.
Therefore, the probability of drawing all four cards as hearts is approximately 0.26%.
4 cards drawn at random find probability all cards are hearts
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Find the probability all face cards
4 cards drawn at random find probability all cards are face cards