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3 years ago

12

Two card are pulled from a normal deck of 52 cards, without replacement.

1 answer:

8090 [49]3 years ago

8 0

Answer:

The probability that both cards that are drawn are hearts is 1/17.

Step-by-Step-Explanation:

First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is 13/52. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out of a deck of 51 cards. The chance of pulling out a heart card in now 12/51. To find the probability that both cards drawn out are hearts, multiply the two fractions together: (13/52)⋅(12/51)=156/2652=1/17.

<h2></h2><h2>So hence, your answer is 1/17</h2>

-----------------------------------——————---------------------------------------------------------

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Answered by: FieryAnswererGT

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ANSWER

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Or

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EXPLANATION

Let us find the gradient of the line:

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We divide through by 4 now;

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This is now in the form;

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where

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This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of $m=\frac{3}{4}$ .

Thus the perpendicular line has slope,

$m=\frac{-1}{\frac{3}{4}}= -\frac{4}{3}$ .

Let the perpendicular line have equation,

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When we substitute the slope we have;

$y=-\frac{4}{3}x+c$

We substitute the point. $(4,0)$ to find c.

$0=-\frac{4}{3}(4)+c$

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We substitute c to obtain;

$y=-\frac{4}{3}x+\frac{16}{3}$

Or

$3y+4x=16$

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