Whats another name for line S? S D В. C N

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

Help please? If you could answer both A and B that’d be great, but you can do only one if you want.

kati45 [8]

For a, this is just the median and the range of the data. Median is the middle number after all of them are in order, and the range is the highest number minus the smallest number.

If we arrange them all in order:

2, 4, 5, 5, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 14, 15

The middle ones are 8 and 9, because there is an even number of results. That means the median is 8.5.

The range is 15 - 2, which is 13.

For b, 21 is an outlier because it is outside the set of movies watched. If 21 was a value in the table, that means that the order is:

2, 4, 5, 5, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 14, 15, 21

Meaning that the middle value is now 9 (because of the odd number of values) and the range is 21 - 2, which is 19. The range would increase because the 21 is greater than all the other values (outlier), so the highest number is now 21. The median would also increase because you added a higher number to the list of numbers, so that the middle would shift one place higher.

Hope I helped!

5 0

4 years ago

You want to put a 5 inch thick layer of topsoil for a new 28 ft by 14 ft garden. The dirt store sells by the cubic yards. How ma

Levart [38]

Answer: SOLUTION -

Let’s convert first the unit dimension of the garden from inches-feet to yards.

HEIGHT: 4 in * (1 ft / 12 in) = 1/3 ft * (1 yard/3 ft) = 1/9 yard

WIDTH: 28 ft * (1 yard/3 ft) = 28/3 yards

LENGTH: 32 ft * (1 yard/3 ft) = 32/3 yards

Then, let’s get the total soil capacity or volume of the garden:

(32/3) * (28/3) * (1/9) = 896/81 = 11.06 cubic yards

Since we can’t buy 0.06 cubic yard of soil, we need to round off 11.06 to the next number of cubic yards that is exactly divisible by 1/4.

It will give us then with 11 & 1/4 cubic yards.

Step-by-step explanation:

6 0

3 years ago

The box plot below represents the ages of campers at a summer camp. What can be interpreted from this box plot?

pychu [463]

Answer:

The box plot below represents the ages of campers at a summer camp. What can be interpreted from this box plot? A. It can be interpreted that about 50 percent of the campers are 8 years of age or younger.

7 0

3 years ago

How you would divide. 17.6 divided by 3.2? *

Helga [31]

Answer:

divide it! with photo math

Step-by-step explanation:

8 0

2 years ago

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