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Butoxors [25]
2 years ago
8

A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box with

out replacement. What is the probability that exactly 2 are white and 2 are red
Mathematics
1 answer:
aliina [53]2 years ago
6 0

14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

{(2×7)/(11×10×9)}×10=14/99

A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.

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The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y– 1 =1/4 (x – 12). What is the sta
Lorico [155]

Answer:

x-4y = 8

Step-by-step explanation:

y– 1 =1/4 (x – 12)

Multiply each side by 4

4y -4 = x-12

Subtract x from each side

-x +4y -4 = -12

Add 4 to each side

-x+4y -4+4 = -12 +4

-x+4y = -8

Multiply by -1

x-4y = 8

5 0
2 years ago
What is the value of x given that figure ADCB
aleksley [76]

Answer:

Step-by-step explanation:

Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.

ACD = BDC          Properties of parallel lines.

DC = DC               A line is equal to itself

DBA = CAB           Property of parallel lines.

AC = DB                Parts of Congruent triangles are congruent

3x + 15 = 7x - 9     Add 9 to both sides

3x + 15 + 9 = 7x

3x + 24 = 7x          Subtract 3x from both sides.

24 = 7x - 3x

24 = 4x                  Divide by 4

24/4 = 4x/4

x = 6

6 0
3 years ago
Read 2 more answers
Please help me answer this question
sergejj [24]

Answer:

72km

Step-by-step explanation:

alex : tomos : annabelle = 2 : 3 : 4

if tomos drove 24km

tomos ratio is 3

so 3 --> 24

<em>1 --> 8 </em>

<u>total ratios --> 2 + 3 + 4 = 9</u>

so total journey is 9 --> 9 * 8 = 72km

6 0
2 years ago
The product of the page numbers on two facing pages of a book is 156. Find the page numbers
Gnoma [55]

Let x be the page number then x+1 would be the other page number (because the pages are two facing pages which means they follow on consecutively)

Then

(x)(x+1) = 156

x^2 + x - 156 = 0

x = 12 or x = -13( but x can't be a negative number)

so x = 12

and the next page is 13

3 0
3 years ago
Find the difference of 1/2 - 3/11
TEA [102]
1/2 - 3/11

Set both denominators (bottom numbers) to 22, so multiply the numerator of 1/2 by 11, and multiply the numerator of 3/11 by 2.

1/2 is now 11/22

3/11 is now 6/22

So, our new question is now : 11/22 - 6/22

Because the denominators are the same, all you have to do is simplify the top numbers.

So, 11-6 = 5

Therefore, your answer is 5/22

~Hope I helped!~
3 0
2 years ago
Read 2 more answers
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