3 years ago

Given a 13-card bridge hand has been dealt from a standard deck of 52 cards, what is the probability of having exactly 6 hearts

Mathematics

1 answer:

frosja888 [35]3 years ago

7 0

$P(6\ hearts)=\frac{13C6\times 39C7}{52C13}=0.0416$

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anyanavicka [17]

Answer:

The answer to your question is below

Step-by-step explanation:

See the graph below

Process

1.- Find the distance from A to B, B to C, C to D, A to D

Formula

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}$

d AB = $\sqrt{(1 + 3)^{2} + (6 - 5)^{2}} = \sqrt{17}$

dBC = $\sqrt{(-2 -6)^{2} + (3 - 1)^{2}} = \sqrt{68}$

dCD = $\sqrt{(-1 - 3)^{2} + (-3 +2)^{2}} = \sqrt{17}$

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2.- Find the perimeter

Perimeter = 2 $\sqrt{17} + 2\sqrt{68}$ = $6\sqrt{17}$ u

3.- Find the area

Area = $\sqrt{17} x \sqrt{68}$

Area = $\sqrt{17x68} = \sqrt{1156} = 34 u^{2}$

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nalin [4]

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