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alexandr1967 [171]
3 years ago
13

You draw one card from a shuffled standard deck of cards (cards are in four suits —red diamonds, red hearts, black clubs, and bl

ack spades— and are numbered 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, a).
a.what is the probability of drawing a red card?
b.what is the probability of drawing a queen?
c.what is the probability of drawing a red queen?
d.what is the probability of drawing a queen given that you drew a face card (face cards are jacks, queens, and kings)
Mathematics
1 answer:
storchak [24]3 years ago
5 0
P(red card) = 1/2
P(queen) = 1/13
P(red queen) = 1/26
P(queen given face card) = 1/3

There are 26 red cards out of 52; the probability is 26/52 = 1/2.
There are 4 queens out of 52 cards; the probability is 4/52 = 1/13.
There are 2 red queens out of 52 cards; the probability is 2/52 = 1/26.
There are 12 face cards (4 jacks, 4 queens, and 4 kings).  Out of those, there are 4 queens.  The probability is 4/12 = 1/3.
You might be interested in
What is 4855/200 simplified
EleoNora [17]

Answer:

The answer is 2427.5

Step-by-step explanation:

The fraction consists of two numbers and a fraction bar: 4,855/200

The number above the bar is called numerator: 4,855

The number below the bar is called denominator: 200

The fraction bar means that the two numbers are dividing themselves.

To get fraction's value divide the numerator by the denominator:

Value = 4,855 ÷ 200

To calculate the greatest common factor, GCF:

1. Build the prime factorizations of the numerator and denominator.

2. Multiply all the common prime factors, by the lowest exponents.

Factor both the numerator and denominator, break them down to prime factors:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

4,855 = 5 × 971;

4,855 is a composite number;

In exponential notation:

200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;

200 is a composite number;

3 0
3 years ago
Choose where it is a function or not a function also choose what is the range and the domain
kow [346]
Not a function because of the vertical line test.
Domain is [-2,∞] since the left most point is -2 and the right is unbounded.
Range is (-∞,∞) since it is not bounded in terms of y.
7 0
2 years ago
What is the domain and range of the following functions? Number 1 please
MrMuchimi
Answers:
Part 1 (the ovals)
Domain = {-6,-1,1,5,7}
Range = {-4,-1,2,4}
-------------------
Part 2 (the table)
Domain = {1,-3,-2}
Range = {-2,5,1}
-------------------
Part 3 (the graph)
Domain = {1, 2, 3, 4, 5, 6}
Range = {-1, 0, 1, 2, 3, 6}

===============================================

Explanation:

Part 1 (the ovals)
The domain is the set of input values of a function. The input oval is the one on the left. 
All we do is list the numbers in the input oval to get this list: {-6,-1,1,5,7}
The curly braces tell the reader that we're talking about a set of values.
So this is the domain.

The range is the same way but with the output oval on the right side
List those values in the right oval and we have {-4,-1,2,4}
Which is the range. That's all there is to it.

------------------------------

Part 2 (The tables)

Like with the ovals in part 1, we simply list the input values. The x values are the input values. Notice how this list is on the left side to indicate inputs.
So that's why the domain is {1, -3, -2}. Optionally you can sort from smallest to largest if you want. Doing so leads to {-3, -2, 1}

The range is {-2,5,1} for similar reasons. Simply look at the y column

Side Note: we haven't had to do it so far, but if we get duplicate values then we must toss them. 
------------------------------
Part 3 (the graph)

Using a pencil, draw vertical lines that lead from each point to the x axis. You'll notice that you touch the x axis at the following numbers: 1, 2, 3, 4, 5, 6
So the domain is the list of those x values (similar to part 2) and it is {1, 2, 3, 4, 5, 6}

Erase your pencil marks from earlier. Draw horizontal lines from each point to the y axis. The horizontal lines will arrive at these y values: -1, 0, 1, 2, 3, 6
So that's why the range is {-1, 0, 1, 2, 3, 6}

5 0
3 years ago
If a table weighs 1.23 pounds what is its weight written as a mixed number??!??
frutty [35]

THE ANSWER IS 1 23/100

(there is a space between the one and 23)

5 0
3 years ago
Solve the expression for x: (17 – 5) (x + 6) = 3x – 12
patriot [66]

(17-5)(x+6)-(3x-12)=0

12(x+6)-(3x-12)=0

12x-(3x-12)+72=0

12x-3x+12+72=0

9x+84=0

9x=-84

x=9+1/3






7 0
3 years ago
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