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You select a card from a deck of 52 cards. Without replacing it, you select another card. Find P(Heart and Spade)

User Jimoc
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1 Answer

5 votes

Answer:

13/204

Explanation:

There are 13 cards in each suit of heart, diamond, clover and spade.

Hence the probability of drawing heart OR spade is 13/52 Aka 1/4 individually.

P(Heart and spade) = 13/52 x 13/51 = 13/204

Why is the denominator of the second fraction 51 instead of 52? :

After drawing one card, you did not replace it back into the deck, so total number of cards left is 51 after the 1st card is drawn.

Why the nominator of the 2nd fraction remains at 13?:

Because, assuming u drew hearts as the 1st card, the number of spade cards left in the deck is unchanged at 13.

User AntoG
by
5.8k points
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