Your friend says that there are 36 feet in 12 yards. Is your friend correct? Explain your reasoning?

Find the probability of being dealt a full house. (Round your answer to six decimal places.)?

vesna_86 [32]

I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.

A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.

Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.

The number of ways of drawing 2 aces and 3 2s is

$\dbinom42\dbinom43=24$

and the number of ways of drawing 3 aces and 2 2s is the same,

$\dbinom43\dbinom42=24$

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.

Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

$2\dbinom{13}2\dbinom42\dbinom43=3744$

The total number of hands that can be drawn is

$\dbinom{52}5=2,598,960$

Then the probability of getting a full house is

$\dfrac{2\binom{13}2\binom42\binom43}{\binom{52}5}=\dfrac6{4165}\approx\boxed{0.001441}$

4 0

3 years ago

11y - |x|; if x = -10 and y = 2

bonufazy [111]

Answer:

- 8

Step-by-step explanation:

x = - 10

y = 2

I x I

= I - 10 I

= 10

y - I x I

= 2 - 10

= - 8

7 0

3 years ago

Read 2 more answers

Marvin used a customary unit of measure to estimate the weight of a watermelon he grew in his backyard what could the estimated

Andrej [43]

Answer:

Usually pounds (lb) .About an an average of 20 to 25 pounds (lbs)

Step-by-step explanation:

Since Marvin uses Customary units, and considering the Watermelon.

Pounds, He could estimate based on average of 20 to 25 pounds.

He could choose another customary units, but it wouldn't be practical and unusual to say a watermelon of 160 quarters, also it would leave all the listeners without parameters.

So, definitely pounds.

3 0

3 years ago

Given The following Graph: a.)Evaluate f(0). b.) Solve for f(x) = -3

dlinn [17]

Answer:

see explanation

Step-by-step explanation:

a

f(0) means find the value of y when x = 0

That is f(0) = 1 ← the point (0, 1) on the graph

b

When f(x) = - 3 means what are the values of x corresponding to y = - 3

From the graph when y = - 3 there are 2 corresponding values of x, that is

x = - 2 or x = + 2

The solution to f(x) = - 3 is x = ± 2

3 0

3 years ago

Ricky Bobby wants to buy a new automobile for $55,000 in 8 years. How much money must Ricky's original investment be if he makes

laila [671]

Answer:

PV= $40,279.36

Step-by-step explanation:

Giving the following information:

Number of periods= 8*12= 96 months

Interest rate= 0.039/12= 0.00325

Future value (PV)= $55,000

To calculate the initial investment, we need to use the following formula:

PV= FV/(1+i)^n

PV= 55,000 / (1.00325^96)

PV= $40,279.36

4 0

2 years ago