What is the probability of drawing a heart followed by a black number ?

Algebra
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What is the probability of drawing a heart followed by a black number (2-10) card from a standard deck of cards?

Oct 15th, 2015

Thank you for the opportunity to help you with your question!

There are 52 cards in a deck of cards, 13 of which are hearts.

black colored cards are either spades or flowers. Therefore, the possible black numbers that can be drawn are;

8 cards of spades and 8 cards of flowers. this gives a total of 16 i.e 8 spade cards + 8 flower cards

the probability of drawing a heart first is found by; 13/52

the probability of drawing a black numbered card is;16/51

therefore multiplying the two probabilities;13/52 x 16/51 =208/2652

which can be further simplified to;52/663


Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 15th, 2015

Feel free to seek further clarification if there is any bit that you have not understood.

Oct 15th, 2015

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