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
____ [38]
3 years ago
9

Two card decks are drawn from a standard 52-card deck, without replacement. Find the probability that they are both aces.

Mathematics
2 answers:
ddd [48]3 years ago
8 0

Answer:

Option C. 1/221

Step-by-step explanation:

Total cards in a standard deck of cards = 52

Number of ace in a deck of cards = 4

So probability to draw an ace  P_{1}=\frac{4}{52}

Since the cards were drawn without replacement means remaining cards in deck of cards now = 51

Number of aces remaining = 3

So probability of drawing another ace  P_{2}=\frac{3}{51}

Now probability to draw both the aces

= P_{1}\times P_{2}

\frac{4}{52}\times \frac{3}{51}=\frac{1}{13}\times \frac{1}{17}

= \frac{1}{221}

Option C. is the answer.

LenaWriter [7]3 years ago
6 0
I'm sorry, when I answered this I'm pretty sure I wasn't in algebra two yet. The correct answer is 4/52 * 3/51 = 1/221
You might be interested in
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute
hoa [83]

Answer:

Obese people

Lower = \mu - 2\sigma = 373- 2(67) = 239

Upper = \mu + 2\sigma = 373+ 2(67) = 507

Lean People

Lower = \mu - 2\sigma = 526- 2(107) = 312

Upper = \mu + 2\sigma = 526+ 2(107) = 740

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, "almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ)".

Solution to the problem

Obese people

Let X the random variable that represent the minutes of a population (obese people), and for this case we know the distribution for X is given by:

X \sim N(373,67)  

Where \mu=373 and \sigma=67

On this case we know that 95% of the data values are within two deviation from the mean using the 68-95-99.7 rule so then we can find the limits liek this:

Lower = \mu - 2\sigma = 373- 2(67) = 239

Upper = \mu + 2\sigma = 373+ 2(67) = 507

Lean People

Let X the random variable that represent the minutes of a population (lean people), and for this case we know the distribution for X is given by:

X \sim N(526,107)  

Where \mu=526 and \sigma=107

On this case we know that 95% of the data values are within two deviation from the mean using the 68-95-99.7 rule so then we can find the limits liek this:

Lower = \mu - 2\sigma = 526- 2(107) = 312

Upper = \mu + 2\sigma = 526+ 2(107) = 740

The interval for the lean people is significantly higher than the interval for the obese people.

5 0
3 years ago
Solve x4 - 34x2 = -225
RSB [31]

Answer:

x= -5,5 and -3,3

6 0
3 years ago
Given: Ray BC bisects angle ABD.
natita [175]

Congruent is the same size and same shape. When a ray bisects an angle, the two newly created angles will be congruent, since the ray went right in the middle of the first angle (so in this case, ABC and DBC will be congruent)

4 0
3 years ago
Read 2 more answers
If sum of first 6 digits of AP is 36 and that of the first 16 terms is 255,then find the sum of first ten terms.
Cloud [144]

Answer:

100

Step-by-step explanation:

We have the sum of first n terms of an AP,

Sn = n/2 [2a+(n−1)d]

Given,

36= 6/2 [2a+(6−1)d]

12=2a+5d ---------(1)

256= 16/2 [2a+(16−1)d]

32=2a+15d ---------(2)

Subtracting, (1) from (2)

32−12=2a+15d−(2a+5d)

20=10d ⟹d=2

Substituting for d in (1),

12=2a+5(2)=2(a+5)

6=a+5 ⟹a=1

∴ The sum of first 10 terms of an AP,

S10 = 10/2 [2(1)+(10−1)2]

S10 =5[2+18]

S10 =100

This is the sum of the first 10 terms.

Hope it will help.

4 0
3 years ago
Read 2 more answers
today at Allison's cupcake and cookie budget for her party at $105 if you would like to have at least 40 cupcakes and cookies co
Sati [7]

Answer:

a  ≤  b  +  5

a  +  b  ≥  40  

2.5 a  +  1.5 b  ≤  105

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg?
    11·1 answer
  • How are these two constants of proportionality related to each other?
    12·1 answer
  • Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad
    10·1 answer
  • Forahigh-riskdriver,thetimeindaysbetweenthe beginning of a year and an accident has an exponential pdf. Suppose an insurance com
    8·1 answer
  • Solve: 3(4x-2)is greater than or equal to 7x+19
    14·2 answers
  • 2x - 8 = 6<br>help please ​
    6·2 answers
  • Which is the decimal equivalent to 722?
    13·1 answer
  • 5x-2y=-3 -2x-y=-6 método de reducción suma y resta con procedimiento y respuesta doy corona a quien me ayude en menos de media h
    5·1 answer
  • Plssss help me I gotta turn the rest of my other assignments my 11:59 pm <br> T-T
    11·1 answer
  • Write an equivalent expression for -6(a+8)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!