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. Sorry..I really don't rt it
No problem! I can help you find the answer to your question. To determine the probability of Tim and Jorge being assigned to the same green cabin, we first need to find the total number of cabins and then calculate the probability of them being assigned to the green cabin.
We know that each cabin has 8 beds, so the number of cabins can be calculated by dividing the total number of boys by the number of beds per cabin. In this case, the total number of boys is 14, and each cabin can accommodate 8 boys.
Number of cabins = (Total number of boys) / (Number of beds per cabin)
Number of cabins = 14 / 8
Number of cabins = 1.75
Since we can't have a fraction of a cabin, we need to round up the number of cabins to the nearest whole number because cabins cannot be divided.
Number of cabins = Round up (1.75)
Number of cabins = 2
Therefore, there are 2 cabins in total.
Now, we know that Tim is in the green cabin. Since there are only 2 cabins, one of them is the green cabin and the other one is the red cabin.
The probability of Tim being in the green cabin is 1 out of 2, or 1/2.
Now, if we want to find the probability of both Tim and Jorge being in the green cabin, we need to know the number of boys going to camp, including Tim and Jorge.
If there are 14 boys going to camp in addition to Tim and Jorge, the total number of boys is 16.
Therefore, the final probability of Tim and Jorge both being in the green cabin can be calculated as:
Probability = (Probability of Tim being in the green cabin) * (Probability of Jorge being in the green cabin)
Probability = (1/2) * (1/16)
Probability = 1/32
So, the probability of Tim and Jorge both being in the green cabin is 1 out of 32, or 1/32.
I hope this explanation helps! Let me know if you have any further questions.