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3 years ago

In a hand of playing cards, what is the probability that all five are of the same suit?

Mathematics

2 answers:

Ne4ueva [31]3 years ago

4 0

Answer:

0.1965%

Explanation:

Because 13/52 are the same suit, we find the probability of 5 cards of the same suit (without replacemennt).

13/52=0.25

12/51=0.235

11/50=0.22

10/49=0.204

9/48=0.188

*multiply sums*

=0.0004957

*multiply by 4 since there are 4 different suits*

=0.001965x100=~0.1965%

amid [387]3 years ago

3 0

Answer:

How many five-card hands dealt from a standard deck of 52 playing cards are all of the same suit? If a random hand is dealt, what is the probability that it will have this property?

Would the probability be:

(135)∗(41)(525)

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Find the third side in simplest radical form:<br> 25

Gre4nikov [31]

Answer:

<h3> $\boxed{ \bold{24}}$ </h3>

Step-by-step explanation:

$\mathsf{given}$

$\mathsf{hypotenuse(h) = 25}$

$\sf{perpendicular (p) = 7}$

$\sf{base(b) = }$ ?

Now, Using Pythagoras theorem

$\sf{{h}^{2} = {p}^{2} + {b}^{2} }$

plug the values

⇒ $\sf{ {25}^{2} = {7}^{2} + {b}^{2} }$

Evaluate the power

⇒ $\sf{625 = 49 + {b}^{2} }$

Swap the sides of the equation

⇒ $\sf{49 + {b}^{2} = 625}$

Move constant to right hand side and change it's sign

⇒ $\sf{ {b}^{2} = 625 - 49}$

Calculate the difference

⇒ $\sf{ {b}^{2} = 576}$

Squaring on both sides

⇒ $\sf{b = 24}$

Hope I helped!

Best regards!

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3 years ago

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DiKsa [7]

Answer:

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Step-by-step explanation:

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3 years ago

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Stolb23 [73]

Answer:

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Step-by-step explanation:

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3 years ago

I need help please.

makkiz [27]

Answer:

see explanation

Step-by-step explanation:

Using the rules of radicals/ exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

$a^{\frac{m}{n} }$ ⇔ $\sqrt[n]{a^{m} }$

Simplifying each term

7 $\sqrt{x^{3} }$ = 7 $x^{\frac{3}{2} }$

x $\sqrt{9x}$

= x × $\sqrt{9}$ × $\sqrt{x}$

= x × 3 × $x^{\frac{1}{2} }$

= 3 × $x^{(1+\frac{1}{2}) }$

= 3 $x^{\frac{3}{2} }$

Subtracting the 2 simplified like terms, that is

7 $x^{\frac{3}{2} }$ - 3 $x^{\frac{3}{2} }$

= 4 $x^{\frac{3}{2} }$ ← return to radical form

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8 0

3 years ago

The length of each edge of a cube is x centimeters. If x is an integer, why is the volume of the cube not equal to 15m^3?

Nadusha1986 [10]

Suppose the length of each side of the cube is x, so the volume must be:

x^3.

If the volume is 15 cm^3, so the length must be cuberoot(15) which is not integer,. So, the volume of the cube with integer side never equal with 15 cm^3

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3 years ago