So, the total number of balls is 11. We want to pick 2 red balls and 1 green ball. WLOG (since order doesnt matter here), we can say he picks red, green, red. That means on his first pick, he has a
chance of picking the red ball, and he places it back in the bag. The probability of picking a green ball is
, and then he places the ball back in the bag. The probability of picking the last red ball is the same as the last red ball example, and we simply multiply the probabilities together as per the multiplication rule to get:

Now, without replacement the order does matter. He picks a red ball, a red ball then a green ball. The probability of picking the first red ball is
, and the probability of picking the second red ball is
and the probability of picking the green ball is
. We want to multiply thm again, as per the multiplication rule like the last problem.


Expanding the left side gives

which gives two solutions,

and

. But if

, then

, but this number isn't real, so

is an extraneous solution. Meanwhile if

, you get

, so this solution is correct.
"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
<em>Hey There!!</em>
<em>The answer is below!!</em>
Step-by-step explanation:
We move all terms to the left:

We add all the numbers together, and all the variables

We get rid of parentheses

After that, We add all the numbers together, and all the variables

Then, We move all terms containing n to the left, all other terms to the right



<em>I don't know this is </em>
% right....

#

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Answer:
Step-by-step explanation:
Both distances are in the scientific notation:
Earth - Sun = 9.3 * 10^7 miles
Saturn - Sun = 8.87 * 10^8 miles
8.87 * 10^8 - 9.3 * 10^7 =
= 88.7 *10^7 - 9.3 * 10^7 =
= 79.4 * 10^7 = 7.94 * 10 ^8 = 794,000,000 miles
Answer: Saturn is 7.94 * 10^8 miles farther from Sun than Earth is.