OpenStudy (baseballer2014):

Try this problem if you think you are a math expert please!

3 years ago
OpenStudy (baseballer2014):

Hussey has been caught stealing goats, and is brought into court for justice. The judge is his ex-wife Amy Hussey, who wants to show him some sympathy, but the law clearly calls for two shots to be taken at Hussey from close range. To make things a little better for Hussey, Amy Hussey tells him she will place two bullets into a six-chambered revolver in successive order. She will spin the chamber, close it, and take one shot. If Hussey is still alive, she will then either take another shot, or spin the chamber again before shooting. Hussey is a bit incredulous that his own ex-wife would carry out the punishment, and a bit sad that she was always such a rule follower. He steels himself as Amy Hussey loads the chambers, spins the revolver, and pulls the trigger. Whew! It was blank. Then Amy Hussey asks, 'Do you want me to pull the trigger again, or should I spin the chamber a second time before pulling the trigger?' What should Hussey choose?

3 years ago
OpenStudy (anonymous):

Hussey should hall arse

3 years ago
OpenStudy (baseballer2014):

@Hero

3 years ago
OpenStudy (baseballer2014):

@mathstudent55 @ganeshie8

3 years ago
OpenStudy (baseballer2014):

@dan815

3 years ago
OpenStudy (dan815):

hmm okay , so

3 years ago
OpenStudy (dan815):

6 place revolver the odds that 2 successive are empty vs 1 empty + randomized + empty

3 years ago
OpenStudy (baseballer2014):

dan the bullets are placed next to each other in successive order.

3 years ago
OpenStudy (dan815):

oh ok

3 years ago
OpenStudy (dan815):

if the first shot misses then you are either behind the 2 bullets or before the 2 bullets

3 years ago
OpenStudy (dan815):

1/4 chance that u have a bad lot after the first shot

3 years ago
OpenStudy (dumbcow):

after shooting 1 blank, there are 5 chambers left .... so pulling trigger again gives probability of 2/5 he is shot If chambers are spun, then he still has a 2/6 or 1/3 chance of being shot Therefore he should ask for her to spin the chamber :)

3 years ago
OpenStudy (dan815):

id say dont spin

3 years ago
OpenStudy (baseballer2014):

Unforunately dumb cow that is not the correct answer try reworking it! the bullets are placed next to each other.

3 years ago
OpenStudy (baseballer2014):

dan can you prove it mathematically

3 years ago
OpenStudy (dan815):

yeah that 1/4 probability is very good after the first shot has missed, if you were to respin after the first shot has missed its back up in the air, you have a 2/6 chance again and that 1/3

3 years ago
OpenStudy (baseballer2014):

perfect! very good Dan i am posting another problem shortly this one is challenging as well

3 years ago
OpenStudy (dan815):

okay

3 years ago
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