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3 years ago

What is the probability of drawing a 6 or a king,

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

5 0

Answer:

Step-by-step explanation:

You didn't give much information, and it depends if your deck of cards includes a pair of Jokers.

There are 52 cards in a deck, not including Jokers, otherwise there are 54.

In a non-Joker deck the chances of drawing a King or 6 is 8/52 or roughly 15.4% in a deck with 2 Jokers your chance is 14.8%.

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vovikov84 [41]

$\mathbf f(x,y)=x^4y^5\,\mathbf i+x^5y^4\,\mathbf j$

We want a scalar function $f(x,y)$ whose gradient is equivalent to the vector field. That means

$\dfrac{\partial f}{\partial x}=x^4y^5\implies f(x,y)=\dfrac{x^5y^5}5+g(y)$
$\dfrac{\partial f}{\partial y}=x^5y^4\implies x^5y^4=x^5y^4+\dfrac{\mathrm dg}{\mathrm dy}$
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So (a)

$f(x,y)=\dfrac{x^5y^5}5+C$

which means (b)

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(\mathbf r(1))-f(\mathbf r(0))=f(-1,3)-f(0,0)=-\dfrac{243}5-0=-\dfrac{243}5$

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What is the probability of drawing a 6 or a king,​

What is the probability of drawing a 6 or a king,