In a Chinese game show, 50% of the players are eliminated each day. If the show starts with 1,000 players, to the nearest integer, how many players will be present at the end of the 8th day of play?

Question

anonymous · Answer

i got 41

anonymous · Answer

1000, 500, 250, 125, 62.5, 31.25, 15.625, 7.8125, I'd round it up to 8.

You just keep carving each number in half.

anonymous · Answer

ok i dont get what ur saying

anonymous · Answer

Ok, so you start out with 1000 people at the beginning of the first day.  At the end of the day, half of them are kicked off, so you have only 500 at the end of the first day.  After another day, half of *them* are gone, so you only have 250 at the end of the second day.

anonymous · Answer

(Japanese game shows really do work like this, by the way.)

anonymous · Answer

so it would have to be 14 because thats the closest answer to any of the given ones

anonymous · Answer

1
		
4
		
41
		
14

anonymous · Answer

those are the given answers

anonymous · Answer

Waitwaitwait, it'd be 4 - I forgot to do the *end* of the last day.

anonymous · Answer

how would it be 4?