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April 4th, 2011, 10:26 AM  #1 
Member Joined: Jul 2010 Posts: 95 Thanks: 0  need a help with 2 probabilities Code: 1.The pedestrian can cross a street within 3 seconds.The pedestrian start walk then he sees that in 3 seconds period no car cross a street.Probability that within 1 second a car will cross a street is 0.54.what probability that the pedestrian will wait 2 seconds until he gets a chance to cross a street Code: 2.Hunter A has probability to shoot successfully a target 0.56.Hunter B has probability to shoot successfully a target 0.65.Independently they are shooting into target until the first successful hit.What probability that for the first hunter will need more ammunition than for the second 
April 4th, 2011, 11:22 AM  #2  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: need a help with 2 probabilities Hello, safyras! The second problem is not stated clearly. Some clarification is needed. Quote:
We must assume a number of rules . . . which is always dangerous. Do the two hunters fire at the target at the same time, firing the same number of times? [color=beige]. . [/color](If they do not fire together, do they take turns? . . . ABAB ... ) The problem says "... until the first hit". [color=beige]. . [/color]This means that they stop, right? Then why would a hunter need "more ammunition"?  
April 4th, 2011, 11:53 AM  #3  
Member Joined: Jul 2010 Posts: 95 Thanks: 0  Re: need a help with 2 probabilities
thanks for answer, soroban. Quote:
Quote:
 
April 4th, 2011, 12:47 PM  #4  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: need a help with 2 probabilities Hello again, safyras! Quote:
That still doesn't clear up the mystery. [color=beige]. . [/color] and they stop . . . So hunter A will not get a chance to use "more bullets". Could the question be: "What is the probability that Hunter B gets the first hit?"  
April 4th, 2011, 01:06 PM  #5  
Member Joined: Jul 2010 Posts: 95 Thanks: 0  Re: need a help with 2 probabilities Quote:
 
April 5th, 2011, 02:47 AM  #6 
Member Joined: Jul 2010 Posts: 95 Thanks: 0  Re: need a help with 2 probabilities Code: 1.The pedestrian can cross a street within 3 seconds.The pedestrian start walk then he sees that in 3 seconds period no car cross a street.Probability that within 1 second a car will cross a street is 0.54.what probability that the pedestrian will wait 2 seconds until he gets a chance to cross a street where P=0.54 
April 5th, 2011, 03:21 AM  #7  
Member Joined: Jul 2010 Posts: 95 Thanks: 0  Re: need a help with 2 probabilities Quote:
 
April 5th, 2011, 07:25 AM  #8 
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: need a help with 2 probabilities Hello, safyras! Thanks for the clarification . . . I think I have the answer. I had to use babytalk to get the picture. [color=beige]. . [/color] [color=beige]. . [/color] [color=beige]. . [/color] [color=beige]. . [/color] [color=beige]. . [/color] [color=beige]. . [/color] [color=beige]. . . . . . . . . [/color] [color=beige]. . [/color] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ [color=beige]. . [/color] [color=beige]. . [/color] 
April 5th, 2011, 11:48 AM  #9 
Member Joined: Jul 2010 Posts: 95 Thanks: 0  Re: need a help with 2 probabilities
Thanks for solution,soroban.How to solve the first problem?


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