You have 60 marbles in a jar, two of which are red. (so 2 red, 58 not red)You pick 10 at random. What is the chance that you draw both red marbles?
Explanation please, not just the answer. Brainliest answer if you calculate it for 2 out of 251 total marbles as well.

Answers

Answer 1

Answer:
Well, I agonized over this for a while, and I have something that we may want to consider.

The only probability formula I know how to use is

Probability = (number of possible successes) / (total number of possibilities).

Can we work with that ? Let's see . . .

The denominator of that fraction is the total number of ways to draw
10 marbles from a jar of 60 . . .

The first draw can be any one of 60 marbles. For each of those . . .
The second draw can be any one of the remaining 59. For each of those . . .
The third draw can be any one of the remaining 58.
.
.
etc.

So the total number of ways to draw 10 from 60 is

   (60 x 59 x 58 x 57 x 56 x 55 x 54 x 53 x 52 x 51)

That's a very big number. My calculator says something that rounds to
2.736 x 10¹⁷. But my calculator only shows 10 digits, so it can't show
all 18 digits in the number. Fortunately, we don't need to see the whole
number written out. We'll just write it in factorial notation, and go on
to do the numerator of the fraction, which is going to be much harder.

That number that we just found is equal to (60!) / (50!) . It's going to be
the denominator of the big fraction.

Now for the numerator. That's going to be the number of ways that the
two red marbles can be included among the ten marbles drawn.

One red marble can be any one of the 10 marbles pulled out.
   For each of those . . .
The other red marble can be any one of the other 9 that are picked.

So there are (10 x 9) = 90 ways for the selected 10 to include both red ones.

SO ! Now, the probability that the ten that are drawn will include the two
red ones should be (it might be, it could be) . . .

   90 divided by (60! / 50!)   .

Remember, that fraction on the right is just total number of ways
to pick 10 out of 60 . The probability of including both red ones
in the draw is 90 divided by that number. It's very small.

Again from my calculator, it's 3.29 x 10⁻¹⁴ percent.

I have no confidence in my answer, but I invite you to look it over, along with
all the real gurus out there.

If I'm wrong, then I've stolen only 5 points that I'm not entitled to, and at least
I did put some effort into it.

Answer 2

Answer: Here you have two proportions. 2/60 and 10/60. I would cross multiply.
Giving you 20/120.
Simplify that to get 1/6. So you have a 1 in 6 chance of getting both the red marbles.
(I'm not 100% sure since it's been a while so you might want to get a second opinion.)
Not sure what you mean by the second part, but hope I provided some help :)

Related Questions

Inequality word problem 7 less than -2 times a number X is greater than or equal to 41
Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years.
The graph below shows the distance, y, in feet, of a mouse from its hole, for a certain amount of time, x, in minutes:Graph titled Distance Vs Time is shown with Time in minutes along the x-axis and Distance from Hole in feet along the y-axis. The scale on the x-axis shows the numbers 0 to 45 at increments of 9, and the scale on the y-axis shows the numbers 3 to 24 at increments of 3. A straight line joins the ordered pairs 0, 9 and 9, 12 and 18, 15 and 27, 18 and 36, 21. Based on the graph, what is the initial value of the graph and what does it represent? 0.23 foot per minute; it represents the speed of the mouse 9 feet; it represents the original distance of the mouse from its hole 0.23 foot; it represents the original distance of the mouse from its hole 9 feet per minute; it represents the speed of the mouse
If z=5 and x =6 what is z(z(z)x))-9
How many degrees is x?

12 girls and 28 boys volunteer to plants trees at a school. The principal divides the girls and boys into identical groups that have girls and boys in each group. What is the greatest number of groups the principal can make?

Answers

The most groups that can be made is the greatest amount that both 12 and 28 can be divided by, or 4. These four groups will each have three girls and seven boys.

A sector of a circle is shown. Find its area, rounded to the nearest tenth. A)
9.8 cm2

B)
10.5 cm2

C)
11.2 cm2

D)
12.3 cm2

*I would like to know how you did it too*

Answers

The area of the sector of the circle, to the nearest tenth is: B. 10.5 cm²

What is the Area of the Sector of a Circle?

Area of the sector of a circle = ∅/360 × πr².

r = radius.

Given:

∅ = 68°

Radius (r) = 4.2 cm

Substitute

Area of the sector = 68/360 × π × 4.2²

Area of the sector = 10.5 cm²

Learn more about area of sector on:

brainly.com/question/22972014

Area of a circle = pi * radius^2
But we're not talking about a whole circle, but a portion of the circle.
The proportion of the area of the whole circle occupied by this sector is equal to the ratio of the created angle to the angle of a whole circle;
that may seem a bit confusing but basically:
Area of the sector = pi * radius^2 * 68/360
so...
Area = pi * (4.2)^2 * 68/360
= 10.467...
= 10.5 cm^2

I promise I will mark you the branliest What was the experience of Jewish people under Persian rule?

Jewish people were forced out of their homeland.

Jewish people became afraid to worship in public spaces.

Jewish people remained and were free to practice their faith.

Jewish people persuaded the Persian ruler to convert to Judaism.

Answers

Answer:

Jewish people became afraid to worship in public spaces

Step-by-step explanation:

cause i got it on edge 2020

According to Rational Root Theorem, which statement about fox) 66x4 2x3 11x2 +35 is true?the O Any rational root of foo) a factor of 35 divided by a factor of 66.is Any rational root of f(x) is a multiple of 35 divided by a multiple of 66Any rational root of f() is a factor of 66 divided by a factor of 35.Any rational root of f(x) is a multiple of 66 divided by a multiple of 35

Answers

Answer:

Any rational root of f(x) is a factor of 35 divided by a factor of 66.

Step-by-step explanation:

The Rational Root Theorem states that:

If P(x) is a Polynomial with integer coefficients and if there exist a rational root of the polynomial i.e. of the form p/q then p is the factor of the constant term and q is a factor of leading coefficient of the polynomial function P(x).

Here we have:

$P(x)=66x^4-2x^3+11x^2+35$

So, according to the Rational Root Theorem the statement that holds true is:

Any rational root of f(x) is a factor of 35 divided by a factor of 66.

Answer:

Any rational root of f(x) a factor of 35 divided by a factor of 66.

Step-by-step explanation:

Rational Root Theorem-

$a_(n)x^(n)+a_(n-1)x^(n-1)+\cdots +a_(0)=0$

If $a_(0)$ and $a_(n)$ are nonzero, then each rational solution x will be,

$x=\pm \frac{\text{Factors of }a_0}{\text{Factors of }a_n}$

The given polynomial is,

$66x^4-2x^3+11x^2 +35$

Here,

$a_(0)=35$ and $a_(n)=66$

Applying the theorem,

$x=\pm \frac{\text{Factors of }35}{\text{Factors of }66}$

The LCD of 7/10 and 1/4 is 40.
true or false?

Answers

False. The LCD is 20

78
A 35
B 350
C
D
(2).par
What is the quotient when 35,000 is divided by 10 and then the result is divided
by 10 again?
3,500
350,000
+ 138%
Malcom drew the following model.
Turn f