Torpedos II

John E. Franklin · 2014-02-20 05:36:47

Suppose that each torpedo has a 1/2 probability of sinking a ship, 1/6 probability of damaging it and 1/3 of missing it altogether. Moreover, 2 damaging shots will also sink the ship. What is The probability that firing three torpedoes will sink the ship ?

bobbym · 2014-02-20 05:48:37

Hi;

John E. Franklin · 2014-02-20 05:54:44

thank you, I will try first to work out my answer with the 6x's cases way where;
1/2 = 3, 1/6 = 1, and 1/3 = 2. That should get me an answer later today...

bobbym · 2014-02-20 06:04:55

Okay, but a program will do it a lot faster and make less mistakes.

John E. Franklin · 2014-02-20 06:14:08

So is "maple"free or open source?

bobbym · 2014-02-20 06:27:02

No it is not free or open source but Maxima, Sage and Geogebra are.

Also, to program a simulation any language will suffice.

John E. Franklin · 2014-02-20 06:54:30

Thanks again.
I got the same 49/54 by hand.
196 out of 216, but I only luckily wrote down 27 of them and knew the rest were sunk, and 20 floated out of 216.

If I think up something else, I'll ask at another time.

bobbym · 2014-02-20 07:09:36

Okay, glad to help.

Math Is Fun Forum

#1 2014-02-20 05:36:47

Torpedos II

#2 2014-02-20 05:48:37

Re: Torpedos II

#3 2014-02-20 05:54:44

Re: Torpedos II

#4 2014-02-20 06:04:55

Re: Torpedos II

#5 2014-02-20 06:14:08

Re: Torpedos II

#6 2014-02-20 06:27:02

Re: Torpedos II

#7 2014-02-20 06:54:30

Re: Torpedos II

#8 2014-02-20 07:09:36

Re: Torpedos II

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