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ddd [48]
3 years ago
10

You have a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and spades. Each s

uit consists of cards numbered 2-10, a jack, a queen, a king, and an ace.
You select one card at random from the deck. Let A be the event that the randomly selected card is a diamond and let B be the event that the card is a king. Based on this information, answer the following questions.

What is P(A) the probability that the card is a diamond?

What is P(B) the probability that the card is a king?

What is P(A and B) the probability that the card is a diamond and a king?

What is P(A | B), the conditional probability that the card is a diamond given that it is a king?
Mathematics
1 answer:
Leokris [45]3 years ago
8 0

Answer:

A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen

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Find the value of y.​
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7 0
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Find the specified element in the inverse of the given matrix
JulijaS [17]
What is the given matrix?
you didn't show a matrix.
the components of the matrix are the elements.
and the elements of the inverse matrix are the elements of the inverse matrix
1) 
so if matrix A is  1   4  1   
                          2   5  2
                          3   6  3
2)
14114
25225
36336

3)
15 24 12
15 12 24
4)
[A]=(15+24+12=51)-(15+12+24=51)
[A]=0
5)
    52    23   25
    63    23   36

    41    11   14 
    63    33   36

    41    12    14
    52    12    25
6)

    15-12   6-6   12-15

     12-6    3-3    6-12

      8-5     2-2     5-8


7) 
     3    0   -3

     6    0   -6

     3    0   -3
 8) 
     (+)3    (-)0   (+)-3

     (-)6    (+)0   (-)-6

     (+)3    (-)0   (+)-3
=

    3  0  -3
   -6  0   6
    3  0  -3

9)
        3 -6  3
N=   0  0  0
       -3  6 -3
10) the inverse of [A]= 1/|A|*[N]
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6 0
4 years ago
The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.
erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>
  • Let the coordinate of A be (x_1,y_1) is (2,7) respectively
  • Let the coordinate of B be (x_2,y_2)
  • And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
  • The mid-point formula is
<h3>M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})</h3>
  • Now substitute the coordinates int he above formula we get
  • (4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})
  • Now equating we get

4=\frac{2+x_2}{2}                    2=\frac{7+y_2}{2}

Multiply by 2 we get                             Multiply by 2 we get  

4(2)=2+x_2                                           2(2)=7+y_2

8=2+x_2                                                4=7+y_2

Subtracting 2 on both

the sides                                    Subtracting 7 on both the sides

8-2=2+x_2-2                                4-7=7+y_2-7

6=x_2                                                       -3=y_2

Rewritting the above equation      Rewritting the equation

x_2=6                                                      y_2=-3

<h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0
3 years ago
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