Q. Tim and Jorge hope they will be assigned to the same cabin at the summer camp. Each cabin has 8 beds in it. And Tim knows that he is saying in the green cabin not the red cabin. If there are 14 boys going to camp in addition to Tim and Jorge. What is the change that Tim and Jorge will both be in the green cabin?

A. do I mulpite 14 by 8??

There are 16 kids and 16 beds total.

We know that Tim is in green.
So the question is what is the probability that Jorge will be in green.

After Tim moves in, there are seven beds left in green out of fifteen beds total.
so
7/15

Thank you!

To find the probability that Tim and Jorge will both be in the green cabin, we need to determine the total number of possible cabin assignments for the 14 boys.

Since each cabin has 8 beds and Tim knows that he is staying in the green cabin, we can consider the 14 boys as a group and Tim and Jorge as a pair within that group.

Let's start by calculating the total number of possible cabin assignments for the 14 boys, without considering Tim and Jorge's specific assignment yet.

The formula for determining the number of combinations is nCr = n! / (r!(n-r)!), where n is the total number of choices and r is the number of choices being made.

In this case, we have 14 boys and 8 beds in each cabin. So, the number of combinations for the 14 boys to be assigned to cabins would be:

14C8 = 14! / (8!(14-8)! = (14 * 13 * 12 * 11 * 10 * 9) / (8 * 7 * 6 * 5* 4 * 3 * 2 * 1) = 3003

Now, let's consider Tim and Jorge together as a pair within this group of 14 boys. Since Tim knows he will be in the green cabin, there are 7 remaining boys who can be assigned to the green cabin with him. This means there is only 1 choice for Jorge to also be in the green cabin with Tim.

Therefore, the probability that Tim and Jorge will both be in the green cabin is 1 out of the total number of possible cabin assignments for the 14 boys, which is 3003.

So, the probability is 1/3003 or approximately 0.000333.

To determine the probability of Tim and Jorge being assigned to the same green cabin, you need to consider the number of boys who can be assigned to the green cabin out of the total number of boys going to camp.

Let's break it down step by step:

1. Calculate the total number of boys going to camp, including Tim and Jorge.
Total number of boys = 14 + 2 = 16

2. Determine the probability of Tim and Jorge both being assigned to the green cabin.
To do this, we need to know the total number of cabins available and the number of green cabins specifically.

3. Assuming there are several cabins and an equal chance of being assigned to each cabin, we'll calculate the probability based on the number of green cabins.
If there is only one green cabin, the probability of both Tim and Jorge being assigned to the same green cabin would be 1/infinite, which is practically zero.

Note: The question does not provide information about the number of green cabins or the total number of cabins. Without this information, we cannot determine the probability accurately.