A card is chosen from a standard deck of cards. What is the probability that the card is a king, given that the card is black ? A. 1/26 B. 1/13 C. 1/2 D.2/13 And I have another question. A drawer contains 12 brown socks, 8 white socks, and 2 blue socks. One sock is selected at random. What is the probability that the sock is blue, given that it is NOT brown? A. 1/4 B. 1/5 C. 1/10 D. 1/11. Thank you sorry i'm a noob at this.

Answers

Answer 1

Answer: EVERY probability question uses this formula.
You should memorize it.

Probability =
   (number of ways it can happen the way you want it)
   divided by
   (total number of ways it can happen).

When a card is chosen from a standard deck of cards, it can turn out
in 52 different total ways.
If you're looking for a black king, there are 2 of those.
So the probability is

2 / 52 = 1 / 26 = about 3.85%

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

In the sock drawer . . .

-- There are 22 socks altogether.

-- What is the total number of ways you can draw a single sock ?
Normally it would be 22. But the question says the one you draw is
definitely NOT brown. So you can just toss the brown socks out of
the question entirely. You're actually working with the total number
of ways you can draw one sock that is not brown. There are 10 of those.

-- 2 of them are blue.

-- So the probability is . . .

   2 / 10 = 1 / 5 = 20% .

Answer 2

Answer: There are 26 black cards in a deck of cards.

There is a King Of Clubs and a King of Spades.

So, given that the card is black, the chances of it being a King is:

2/26 which is 1/13.

This can be proven:

P(Card Is Black (B)) = 26/52

P(Card Is King (K)) = 4/52

P(Card Is King And Black) = 2/52

$P\left( K|B \right) =\frac { P\left( K\cap B \right) }{ P\left( B \right) } \n \n =\frac { \frac { 2 }{ 52 } }{ \frac { 26 }{ 52 } } \n \n =\frac { 2 }{ 52 } * \frac { 52 }{ 26 } \n \n =\frac { 2 }{ 26 } \n \n =\frac { 1 }{ 13 }$

----------

Using Bayes' theorem and:

P(Brown Sock (B)) = 12/22

P(White Sock (W)) = 8/22

P(Blue Sock (L)) = 2/22

P(Not Brown Sock (N)) = 10/22

Had to use this to make sure I got the right answer. Second question was a tad confusing.

$P\left( L|N \right) =\frac { P\left( L \right) * P\left( N|L \right) }{ P\left( N \right) } \n \n =\frac { \frac { 2 }{ 22 } * 1 }{ \frac { 10 }{ 22 } } \n \n =\frac { 2 }{ 22 } * \frac { 22 }{ 10 } \n \n =\frac { 2 }{ 10 } \n \n =\frac { 1 }{ 5 }$

Related Questions

4^(x-1) + 4^x + 4^(x+1)= 21
What multiplies to negative 90 and adds to negative 5
Simplify the Matrix Operation 4[-4 5 -6]
Multiply and simplify.(a - 2b) (2a - b) (a + 2b)
A code is formed using four of these letters: A, B, I, K, N, O, and T. (Note that the order of the letters in the code matters; for example, ABIK is a different code from BAIK.)The size of the sample space is . The probability that the first three letters of the four-letter code are vowels is?

What is the solution to the linear equation?

6k + 10.5 = 3k + 12

Answers

Answer: 0.5

Step-by-step explanation:

The given equation: $6k + 10.5 = 3k + 12$

To solve the above equation for k , we first subtract 3k from both the sides , we get

$6k + 10.5 -3k= 3k + 12-3k\n\n\Rightarrow\ 3k+10.5=12$

Subtract 10.5 from both sides

$3k=12-10.5\n\n\Rightarrow\ 3k=1.5$

Divide 3 on both the sides , we get

$k=(1.5)/(3)=0.5$

Hence, solution to the linear equation : k = 0.5

6k+10.5=3k+12
-10.5 -10.5
6k=3k+1.5
-3k -3k
3k=1.5

11. A certain alloy contains 14.25% nickel. How much nickel is there in a piece weighing 375 pounds?Round your answer to the nearest hundredth.A. 112.49 pounds
B. 12.24 pounds
C. 53.44 pounds
D. 78.92 pounds

12. Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour?
A. $16.57
B. $8.29
C. $7.25
D. $12.89

Answers

11. 375x0.1425 = 53.475 (53.44 to 2 d.p.)

12. 116 / (9+7) = $7.25
Total payment / Hours spent working = Money per hour

Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour? $12.89

How can I draw a quick picture to find the answer of 3×2.7

Answers

draw a square with a right or left side measuring 3 inches (don't make it to scale) and a top or bottom side 2.7 inches.

3×2.7=8.1

HOPE THIS HELPS!!!!!!!!!

Miguel made 6 identical necklaces each, having beads and a pendant. The total cost of the beads and the pendant for all 6 necklaces was $29.40. If the beads cost a total of $19.80, how much did each pendant cost?

Answers

Answer:

29.40-19.80=9.6

9.6/6=1.6

So the answer is $1.60

Step-by-step explanation:

Factor: x^2 - 8x + 16

Answers

The required factor of the given expression x² -8x + 16 is (x - 4)².

What is factor?

In mathematics, a factor is a number or algebraic expression that divides another number or expression evenly without leaving a remainder.

To factor the expression x² - 8x + 16, we can use the following steps,

Step 1: Identify the first and last terms of the expression, which are x² and 16, respectively.
Step 2: Find two numbers that multiply by 16 and add up to -8. In this case, these numbers are -4 and -4, since (-4) x (-4) = 16 and (-4) + (-4) = -8.
Step 3: Rewrite the middle term of the expression (-8x) as the sum of the two numbers found in step 2, i.e., -4x - 4x.
Step 4: Factor by grouping, by grouping the first two terms (x² - 4x) and the last two terms (-4x + 16) separately, and factoring out the common factor in each group
= x² - 4x - 4x + 16
= x(x - 4) - 4(x - 4)
= (x - 4)(x - 4)

Step 5: Simplify the result by writing (x - 4)(x - 4) as (x - 4)².

Therefore, the factored form of x² - 8x + 16 is (x - 4)².

Learn more about Factors here:

brainly.com/question/24182713

#SPJ5

X^2-8x+16= (x-4)^2 because -4 and -4 add to -8 but multiply to 16. Hope that helped.

Angle D is a circumscribed angle of circle O.Circle O is shown. Triangle A C B is inscribed within circle O. Side A B goes through point O. The length of A C is 15 and the length of C B is 8. Angle A C B is a right angle. Line segment O E is a radius. Tangents B D and E D intersect at point D outside of the circle to form kite O B D E. Angles O B D and D E O are right angles. The length of E D is 5.

What is the perimeter of kite OBDE?

17 units
23 units
27 units
60 units

Answers

Since angle D is a circumscribed angle of circle O, the perimeter of kite OBDE is equal to 27 units in accordance with Pythagorean's Theorem.

How to calculate the perimeter of kite OBDE.

In order to determine the perimeter of kite OBDE, we would apply Pythagorean's Theorem because angles OBD and DEO are right angles.

Mathematically, Pythagorean Theorem is given by this formula:

c² = a² + b²

Where:

h is the hypotenuse.

a is the adjacent side.

b is the opposite side.

Given the following data:

Length of AC = 15 units.

Length of CB = 8 units.

Length of ED = 5 units.

Substituting the given parameters into the formula, we have;

c² = 15² + 8²

c² = 225+64

c =√289

c = 17 units.

Since a kite is a quadrilateral with four (4) equal sides and two (2) congruent sides, we can deduce the following:

Side OB = OE = 1/2 × 17 = 8.5 units.

Side BD = ED = 5 units.

Therefore, the perimeter of kite OBDE is given by:

Perimeter = 17 + (5 + 5)

Perimeter = 17 + 10

Perimeter = 27 units.

Read more on Pythagorean Theorem here: brainly.com/question/16176867

Answer:

Step-by-step explanation:

Other Questions

In a study of homeowners, 500 were randomly chosen. It was found that 23% of the people did not have a mortgage and owned their homes outright. Determine whether 23% is a statistic or a parameter.A. It is a parameter because the value describes a characteristic of a population. B. It is a statistic because the value describes a characteristic of a sample. C. It is a parameter because the value describes a characteristic of a sample. D. It is a statistic because the value describes a characteristic of a population.

Construct a polynomial function with the following properties: fifth degree, −2 is a zero of multiplicity 2, 4 is the only other zero

the relationship between x and y is proportional. when x is 3 and y is 15. what is x when y is 60? what is the value of x.

PLEASE HELP!! EARN 50 POINTS!! WILL MARK BRAINLIEST!!!!Fill in the reason for each stepGiven - 2x-7= 1/3x-2Prove - x = 3statement - 2x-7= 1/3x-2 reason- (Given)statement - 3(2x-7)=3(1/3x-2) Reason -statement - 6x-21=x-6reason -statement - 5x-21=-6reason -statement - 5x=15reason -statement - X=3reason -