winnings double with each right answer equation

Question

day1 1000

day2 2000

day3 4000

day4 8000

day5  16000

Comments

What is your question?

Answer 1

DNot sure what you are asking, but the table below shows the winnings for all possible outcomes over 5 days.

RRRRR	16000	RWRRR	8000	WRRRR	8000	WWRRR	4000
RRRRW	8000	RWRRW	4000	WRRRW	4000	WWRRW	2000
RRRWR	8000	RWRWR	4000	WRRWR	4000	WWRWR	2000
RRRWW	4000	RWRWW	2000	WRRWW	2000	WWRWW	1000
RRWRR	8000	RWWRR	4000	WRWRR	4000	WWWRR	2000
RRWRW	4000	RWWRW	2000	WRWRW	2000	WWWRW	1000
RRWWR	4000	RWWWR	2000	WRWWR	2000	WWWWR	1000
RRWWW	2000	RWWWW	1000	WRWWW	1000	WWWWW	no win

R=right, W=wrong. From the table you can count (and therefore work out the probability of) any particular combination of winnings.

Probability of winning, if answers are randomly given:

No win is 1/32

1000 is 5/32

2000 is 5/16

4000 is 5/16

8000 is 5/32

16000 is 1/32