Answer:
1 / 2
Step-by-step explanation:
- First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.
- Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability: 1/2
- Armed with the key observation, we see that the event that the last person's correct seat is free, is exactly the same as the event that the first person's seat was taken before the last person's seat.
- Well, each person had to make a random choice, was equally likely to choose the first person's seat or the last person's seat - the random chooser exhibits absolutely no preference towards a particular seat. This means that the probability that one seat is taken before the other must be 1/2
Answer:
6x + 12y = 816
Step-by-step explanation:
6 dollars per regular admission
12 dollars per both dance and volleyball
in total 816 dollars
There are 44 total small egg cartons, 264 / 6 = 44
There are 176 total medium egg cartons, (264 / 3) x 2 = 176
There are 44 total big egg cartons, 176 + 44 = 220
264 - 220 = 44
<u>Note: (So you don't get confused) Above is just the number of egg cartons, below is the number of eggs.</u>
There is a total of 352 eggs in the small egg cartons, 44 x 8 = 352
There is a total of 2112 eggs in the medium egg cartons, 176 x 12 = 2112
There is a total of 792 eggs in the large egg cartons, 44 x 18 = 792
Hope this Helps! :)
