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pav-90 [236]
2 years ago
15

Suppose that 8 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 8 are black? The probabil

ity is (Round to six decimal places as needed.)​
Mathematics
1 answer:
Zanzabum2 years ago
3 0

Answer:

0.0020760077

Step-by-step explanation:

The probability of drawing the first black card is 26/52 because there are 26 of them in a deck of 52.

The probability of drawing the second black card is 25/51 because there are 25 of them in a deck of 51.

The probability of drawing the third black card is 24/50 because there are 24 of them in a deck of 50.

And so on and so forth, now we just have to multiply the 8 fractions together:

26/52*25/51*24/50*23/49*22/48*21/47*20/46*19/45=

\frac{26}{52} *\frac{25}{51} *\frac{24}{50}* \frac{23}{49} *\frac{22}{48} *\frac{21}{47} * \frac{20}{46} * \frac{19}{45}= 0.0020760077

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ariana takes a handful of cookies and divides them evenly between her 3 kids. then she grabs one more cookie for each kid. if ea
Virty [35]

Answer:

9 cookies in her original handful

Step-by-step explanation:

3 times 4 equals 12

12-3=9

4 0
3 years ago
A day can be evenly divided into 86,400 periods of 1 second; 43,200 periods of each 2 seconds; or in many other ways. In total,
Leni [432]

Answer:

96 ways

Step-by-step explanation:

Given

Day = 86400\ seconds

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

86400/2 = 43200

43200/2=21600

21600/2=10800

10800/2=5400

5400/2= 2700

2700/2 = 1350

1350/2=675

675/3=225

225/3=75

75/3=25

25/5=5

5/5 = 1

This implies that:

86400 = 2^7 * 3^3 * 5^2

The number of factors d is the solved by:

d = (a+1)*(b+1) *(c+1)

Where

n = 2^a * 3^b * 5^c

By comparison:

a = 7

b = 3

c=2

So:

d = (7+1)*(3+1) *(2+1)

d = 8*4 *3

d = 96

<em>Hence, there are 96 total ways</em>

7 0
3 years ago
4. Identify the conclusion of the following conditional: A number is divisible by 3 if the sum of the digits of the number is di
statuscvo [17]
X/3+x/3 that is the form of it i think
4 0
3 years ago
2x+5=15<br><br> Solve for x<br> a.5<br> b.2<br> c.7<br> d.10
Black_prince [1.1K]

Answer:

A.5

Step-by-step explanation:

3 0
3 years ago
Hi, please help me :)
bearhunter [10]

Answer:

D. Linear

The answer is negative linear, because when it incresing from 0 to 1 to 2 to 3 (year) it always deacreasing in the value($).

4 0
3 years ago
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