1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
denis-greek [22]
2 years ago
7

A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. (a) The card drawn is 5. The pro

bability is: (b) The card drawn is a face card. The probability is: (c) The card drawn is not a face card. The probability is
Mathematics
1 answer:
Dmitrij [34]2 years ago
7 0

Answer:

  • a. 1 / 13
  • b. 3 / 13
  • c. 10 / 13

Step-by-step explanation:

<h3>a.</h3>

There are four 5's in the deck. This means that, from 52 possible cards to drawn, we have 4 chances of drawing a 5. This means that the probability will be:

p = \frac{4}{52}

p = \frac{1}{13}

<h3>b.</h3>

For every suit, there are three face cards, J, Q and K. There are 4 suits, so, the total number of face cards its:

4 * 3 = 12

The total possible cards are, still, 52, so, the probability will be

p = \frac{12}{52}

p = \frac{3}{13}

<h3>c.</h3>

We know that the card drawn must be a face card, o not being a face card. There is no third choice here. So, the probability of drawing a face card OR not drawing a face car its:

p = \frac{52}{52} = 1

so

p(the \ card \  is \  a \  face  \ card) + p(the \ card \  is \  not \ a \  face  \ card) = 1

p(the \ card \  is \  not \ a \  face  \ card) = 1 - p(the \ card \  is \  a \  face  \ card)

but, we know that

p(the \ card \  is \  a \  face  \ card = \frac{3}{13}

so

p(the \ card \  is \  not \ a \  face  \ card) = 1 - \frac{3}{13}

p(the \ card \  is \  not \ a \  face  \ card) = \frac{10}{13}

You might be interested in
What number divided by 5 is 1/4 of 100<br><br> Explanation please!
gulaghasi [49]

Answer:

125

Step-by-step explanation:

125 divided by 5 is 25, and 25 is 1/4 of 100

5 0
2 years ago
Read 2 more answers
The town recreation department ordered a total of 100 baseballs and bats for the summer.Baseballs cost $4.50 each and bats cost
Romashka [77]

Answer:

The town recreation department ordered 66 baseballs and 24 bats.

Step-by-step explanation:

Let the number of baseball be 'x'.

Also Let the number of bats be 'y'.

Given:

Total items bought = 100

Now we can say that;

Total items bought is equal to sum of number of baseball and number of bats.

Framing in equation form we get;

x+y =100 \ \ \ \ equation \ 1

Also Given:

Cost of each baseball = $4.50

Cost of each bat = $20

Total purchase = $822

Now we can say that;

Total Purchase is equal to to sum of number of baseball multiplied by Cost of each baseball and number of bats multiplied by Cost of each bat.

framing in equation form we get;

4.5x+20y =822 \ \ \ \ equation\ 2

Multiplying equation 1 by 4.5 we get;

4.5(x+y) =100\times4.5\\\\4.5x+4.5y = 450 \ \ \ \ equation \ 3

Now Subtracting equation 3 from equation 2 we get;

(4.5x+20y)-(4.5x+4.5y) = 822-450\\\\4.5x+20y-4.5x-4.5y =372\\\\15.5y = 372

Dividing both side by 15.5 we get;

\frac{15.5y}{15.5}= \frac{372}{15.5}\\  \\y =24

Substituting the value of y in equation 1 we get;

x+y =100\\\\x+24 =100\\\\x =100-24 =66

Hence the town recreation department ordered 66 baseballs and 24 bats.

5 0
3 years ago
The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is th
Crank

Answer:

One number is 4.2, the other is 18.8

Step-by-step explanation:

1.)  x+y=23

    (x+6y)x2=4

2.) (x+6y)x2=4   =   2x+12y=4

3.)Use elimination/substitution to solve

     2x+12y=4  =   x+6y=2  =  x=2-6y

     2-6y+y=23

4.)Solve for y

     2-5y=23 -> -5y=21 -> y=4.2.

5.)Solve for x

    x+4.2=23

    x=18.8

I may be wrong so let me know if I am

8 0
2 years ago
a store owner is arranging clothes on racks. she has30 sweaters 45 shirts and15 pairs of jeans she wants to put the same numbers
Gwar [14]
First,you have to divide and see which number can go into 45 , 15 , and 30 what ever your answer is thats how many of each item you can put on each shelf. In your case it would be 15
3 0
3 years ago
The largest doll is 12 inches tall. the height of each of the other dolls is 710710 the height of the next larger doll. write an
GrogVix [38]

the question doesn't say how many dolls. there would be an infinite number.  
But we'll just form the equation for the nth doll.     
 Largest doll = 12 inches
 2nd doll = (12) x 0.7
 3rd doll = (12 x 0.7) x 0.7
 4th doll = [(12 x 0.7) x 0.7) x 0.7 
  
 OK, We now see the pattern. Each successive doll is mult by the previous

doll height x 0.7
 the Nth doll, 12 is mult by 0.7(n-1)  
 So, the height of the nth doll can be expressed as: 12 x 0.7(n-1)  
 example: 4th doll = 12 x 0.7(4-1) = 12 x 0.73
  10th doll = 12 x 0.7(10-1) = 12 x 0.79 etc
3 0
3 years ago
Other questions:
  • ((help? just a bit of help!))
    11·1 answer
  • How do I graph this? In picture below<br> please include the graph
    5·1 answer
  • in a bag of 100 balloons, 12 are red and 13 are green. What fraction of the balloons in the bag are not red or green?
    12·2 answers
  • Tyler simplified the expression x^-3 y^-9. His procedure is show below.
    11·2 answers
  • Inverse of f(x)=3/2x +6
    13·1 answer
  • Use the data below to construct a stem and leaf display on your own paper. Determine if the determination form the book, Last Co
    6·1 answer
  • Simplify (2^3)^-2<br> A -1/64<br> B 1/64<br> C 2<br> D 64
    6·2 answers
  • Simplify the expression <br> 3(5x+8)
    11·2 answers
  • Evaluate the function.<br> f(x) = -x² + 6<br> Find f(-3)
    10·2 answers
  • The length of a rectangular floor is two ft more than its width. If the area of the floor is 63 ft, find the length and the widt
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!