My Math Forum A probability question

 Probability and Statistics Basic Probability and Statistics Math Forum

 September 17th, 2013, 08:24 AM #1 Member   Joined: Oct 2011 Posts: 81 Thanks: 0 A probability question Question- A,B,C are three persons having a gun. A is targeting to B, B and C are targeting to A. Probability of hitting the target by A,B,C are 2/3, 1/2, 1/3 respectively. If A is hit then find the probability that B hits him and not C. I approached the question by Bayes' theorem but did not go too far. Any help would be appreciated.
 September 17th, 2013, 08:37 AM #2 Senior Member   Joined: Jun 2013 From: London, England Posts: 1,316 Thanks: 116 Re: A probability question Do you know what order they fire? Is it A fires first, then B, then C?
 September 17th, 2013, 09:12 AM #3 Senior Member   Joined: Jun 2013 From: London, England Posts: 1,316 Thanks: 116 Re: A probability question Assuming they shoot in alphabetic order, what happens is: 1) 2/3 of the time A shoots B; so B is dead; then in 1/3 of these cases C shoots A. So, A gets shot 2/9 by C. 2) 1/3 of the time A misses B: 2.1) 1/2 of theses cases B shoots A. So, A gets shot 1/6 by B. 2.2) 1/2 of these cases B misses A, and in 1/3 of these cases C shoots A. So, A gets shot 1/18 by C. In total, A gets shot 8/18: 1/6 = 3/18 by B and 5/18 by C. So, if A gets shot, the probabilty that B shot him is 3/8.

 Tags probability, question

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post jskrzy Probability and Statistics 4 October 31st, 2011 02:11 PM skate_rds Advanced Statistics 3 March 17th, 2011 07:37 AM skate_rds Advanced Statistics 0 February 6th, 2011 09:16 PM madflame991 Probability and Statistics 0 February 1st, 2011 01:06 AM tnutty Advanced Statistics 1 January 27th, 2011 04:31 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top