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
qwelly [4]
3 years ago
14

Find the probability of selecting two number cards when two cards are

Mathematics
2 answers:
QveST [7]3 years ago
8 0

We know that there are 36 number cards and 16 face cards in standard deck of 52 cards. Now choose two cards without replacement from 52 cards.

The number of ways of choosing any 2 cards without replacement from 52 cards is

C(2,52)=\frac{52!}{50!2!}  .

The number of ways of choosing 2 number cards without replacement from 36 cards is

C(2,36)=\frac{36!}{34!2!}  .

The required probability is

\frac{\frac{36!}{34!2!}}{\frac{52!}{50!2!}  } =\frac{35*36}{51*52} =\frac{105}{221}  

Correct choice is (A)

olga2289 [7]3 years ago
6 0

We know that there are 36 number cards and 16 face cards in standard deck of 52 cards. Now choose two cards without replacement from 52 cards.

The number of ways of choosing any 2 cards without replacement from 52 cards is

C(2,52)=\frac{52!}{50!2!}.

The number of ways of choosing 2 number cards without replacement from 36 cards is

C(2,36)=\frac{36!}{34!2!}.

The required probability is

\frac{\frac{36!}{34!2!}}{\frac{52!}{50!2!}  } =\frac{35*36}{51*52} =\frac{105}{221}

Correct choice is (A).

You might be interested in
The mean finish time for a yearly amateur auto race was 186.32 minutes with a standard deviation of 0.305 minute. The winning​ c
uranmaximum [27]

Complete Question

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.305 minute. The winning car, driven by Roger, finished in 185.85 minutes. The previous year's race had a mean finishing time of 110.7 with a standard deviation of 0.115 minute. The winning car that year, driven by Karen, finished in 110.48 minutes.

Find their respective z-scores.

 Who had the more convincing victory?

A. Roger​ had a more convincing victory because of a higher z-score.

B. Karen a more convincing victory because of a higher z-score.

C. Roger had a more convincing victory, because of a lower z-score.

D. Karen a more convincing victory because of a lower z-score.

Answer:

The correct option is  D

Step-by-step explanation:

From the question we are told that

  The mean of the current year  is  \mu_c =  186.32 \  minutes

   The standard deviation is  \sigma_c  =  0.305 \  minutes

   The time taken by  the winning car for the current year  is  x =  185.85 \ minutes

  The mean of the previous  year  is  \mu_p =  110.7 \  minutes

   The standard deviation the previous  year  is  \sigma_p  = 0.115  \  minutes

 The time taken by  the winning car for the previous year  is  y =   110.48 \ minutes    

Generally the z-score for current year is mathematically evaluated as

     z_c  =  \frac{x- \mu_c}{\sigma_c }

=>     z_c  =  \frac{ 185.85- 186.32}{0.305 }

=> z_c  = -1.536

Generally the z-score for previous year is mathematically evaluated as

     z_p  =  \frac{y- \mu_p}{\sigma_p }

=>     z_p  =  \frac{ 110.48-110.7}{0.115  }

=> z_p  = -1.913

From the value obtained we see that  z_p  <  z_c , Hence  Karen had a more convincing victory because of the lower z -score.

5 0
2 years ago
Please help with this one
Masja [62]

Answer:

the answer is 15 words after 3 weeks

Step-by-step explanation:

7 0
3 years ago
Which expression is equivalent to 5-8
MAXImum [283]
It’s equivalent to 10/16 and 40/64
3 0
3 years ago
Lavonne has 4/5 cup of blueberry muffins requires 1/3 cupof blueberrys how many batches of blueberry muffins can lovonne make
34kurt
How many 1/3 cups blueberry can you get out of the 4/5 cup..

= (4/5) / (1/3)
= (4/5)*(3/1)
= 12/5
= 2 2/5 batches
6 0
2 years ago
Write the decimal equivalent.(decimal)(decimal)100
NISA [10]
If im not mistake i think 1/2 is 0.5 but im not sure about the other one 

3 0
2 years ago
Read 2 more answers
Other questions:
  • Matt plans to put concrete on a rectangular portion on his driveway. The portion is 8 feet long and 4 inches high. The price of
    15·1 answer
  • kim is saving monyfor a trip this summer. She already has some money in her savings account and will add the same amount to her
    13·1 answer
  • PLEASE I NEED IT QUICK Mr. Grant sold 12 cars in June, 6 cars in July, and 9 cars in August. He then sold 24 cars in September,
    15·2 answers
  • Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.
    8·1 answer
  • What is a Ratio??????
    10·2 answers
  • 11.
    14·2 answers
  • Which is the most accurate way to estimate 26% of 91?
    14·1 answer
  • There are 150 new employees at a tech company in Southern California. 30 new employees are randomly assigned to each orientation
    14·1 answer
  • Anne takes a rectangular piece of fabric and cuts from one corner to the opposite corner. If the piece of fabric is 15 inches lo
    10·1 answer
  • Find the midpoint M of the line segment joining the points C = (-1, 1) and D = (5, – 7).<br> =<br> =
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!