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
taurus [48]
3 years ago
15

Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the

given event. (Round your answer to three decimal places.) A pair is not drawn.
Mathematics
1 answer:
Vlad [161]3 years ago
6 0
<h2>The probability that a pair is not drawn  = 0.765</h2>

Step-by-step explanation:

Here, the total number of cards in the given deck = 52

The total number of suits = 4 (13 cards each)

Now, P( Drawing 2 clubs) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

Similarly,  P( Drawing 2 diamond ) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

P( Drawing 2 spades) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

P( Drawing 2 hearts ) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

⇒ Probability of drawing 2 clubs or 2 spades or 2 hearts or 2 diamonds

=  P( Drawing 2 clubs) +  P( Drawing 2 diamond ) P( Drawing 2 spades)+ P( Drawing 2 hearts )  = (\frac{1}{17})+  (\frac{1}{17})+ (\frac{1}{17})+ (\frac{1}{17}) = 4\times (\frac{1}{17}) = \frac{4}{17}  = 0.2352

Now, P(NOT DRAWING A PAIR) = 1 - P(DRAWING a PAIR)

                                                       = 1- 0.2352 = 0.7647

Hence, the probability that a pair is not drawn  = 0.7647

You might be interested in
Can someone help? If b/a=c/b=d/c=2/3, find a:b:c:d.
blagie [28]

Answer: a:b:c:d = 16:24:30:40

You can also divide the ratio by 2 because all terms have 2 in common. Which would be  a:b:c:d = 8:12:15:20

8 0
2 years ago
1.Hannah walked the same number of miles each day for 5 days. Let m represent the total number of miles Hannah walked. Write a l
mamaluj [8]

1) Given m represent the total number of miles Hannah walked.

Let us assume Hannah walked x miles each day.

So total number of miles Hannah walked in 5 days is m=5x.

2)Given Jimmy brought 2 books per day and Peter brought 4 books per day.

If d is the number of days the book drive, total number of books they brought

        =total number books brought by Jimmy+ total number of books brought by Peter                                                                          

        = 2d+4d = 6d

3) Given that c represent cost of the clothes.

Then 30% discount = 0.3c

Hence cost of the clothes = c-0.3c = 0.7c

4) Given c represent the cost of their meal before tipping.

And tip is 15% of the cost.

Hence tip = 0.15c

Hence total bill = c+0.15c=1.15c

5) Given that Tommy had 40$ in his pocket.

And pair of pants cost 37$ with 10% sales tax.

Hence cost of pants including sales tax = 37+37*0.1 = 40.1$ >40$

Hence Tommy cannot afford the pants with 40$ in his pocket.

For following problems, we should group the like terms together and then simplify.

6) (x+8)+(3x-12) = (x+3x)+8-12 = 4x-4

7) 5x+7-(3x-4) = 5x+7-3x+4 = (5x-3x)+7+4 = 2x+11

8) (x-2)-(-4x+1)=x-2+4x-1 = (x+4x)-2-1 = 5x-3

8 0
3 years ago
I need helping solving this
olchik [2.2K]

Answer: x= 5

Step-by-step explanation:

Plug the second equation into the first equation’s y.
3x-2(-2x+7)=21

Then use distribution

3x+4x-14=21

Add 4x and 3x

7x-14=21

Then add 14 to both sides

7x=35

Divide by 7 to get x

35/7=5

x=5

8 0
2 years ago
What is the product of 18 and k
SashulF [63]
18k i believe because it is a varible and a number so when u multiply them u just put them together.... is this multi choice question because to see the answers would help
8 0
3 years ago
-3x+4y=-4 -2x+5y=9<br>solve the following system of equations
Vesnalui [34]

the answer is x= 8, and y=5

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the point-slope form of the equation of a line that passes through the point (6, −8) and has a slope of −2?
    7·1 answer
  • The bar graph shows the number of students who earned each letter grade on an exam. Which statement about the graph is true?
    6·2 answers
  • Paul and his friends average their test grades and find that the average is 95 the teacher announces that the average grade of a
    12·1 answer
  • How many 8 oz glasses of water are in 3 liters?
    13·2 answers
  • Please help this is due tomorrow!!
    5·2 answers
  • Scott's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make copper balls tha
    11·1 answer
  • Need the answer asap!!!​
    12·1 answer
  • You say me when you start at 21 and count by tens. I am after 91. I am before 111. What number am i?
    11·2 answers
  • Who here loves to play in the snow
    15·2 answers
  • Draw the graph for f(x)=x-1/x^2-x-6 and state:a. the x-intercept(s).b. the y-intercept.c. the equation(s) of any vertical asympt
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!