Conditional Probability q1 - Revision history

Arjun Suresh at 11:52, 15 July 2014

2014-07-15T11:52:17Z

Arjun Suresh at 11:56, 14 July 2014

2014-07-14T11:56:01Z

Arjun Suresh at 08:29, 12 June 2014

2014-06-12T08:29:52Z

Arjun Suresh: /* {{Template:Author|Arjun Suresh|{{arjunweb}} }} */

2014-06-11T18:00:49Z

‎{{Template:Author|Arjun Suresh|{{arjunweb}} }}

Arjun Suresh at 14:04, 14 April 2014

2014-04-14T14:04:56Z

Arjun Suresh at 12:55, 6 January 2014

2014-01-06T12:55:49Z

Arjun Suresh at 16:31, 15 December 2013

2013-12-15T16:31:07Z

Arjun Suresh at 14:20, 12 December 2013

2013-12-12T14:20:31Z

Arjun Suresh: Created page with "A man visits a couple who have 2 children. one of the children, a boy, comes into the room. find the probability p that the other is also a boy. (a)1/3 (b)2/3 '''(c)1/2''' (d..."

2013-12-12T14:20:04Z

Created page with "A man visits a couple who have 2 children. one of the children, a boy, comes into the room. find the probability p that the other is also a boy. (a)1/3 (b)2/3 '''(c)1/2''' (d..."

New page

A man visits a couple who have 2 children. one of the children, a boy, comes into the room. find the probability p that the other is also a boy.

(a)1/3 (b)2/3 '''(c)1/2''' (d)3/4

===Solution===
Since, it's given that the first one is a boy, the second event is independent of the first and the probability is 1/2. Had it been "one of the children is a boy" instead of "first one is a boy" then the probability of two children being boys would have been 1/3 (sample space BB, BG, GB).

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-Since, it's given that the first one is a boy, the second event is independent of the first and the probability is 1/2.(The sample space contains only the events concerning the second child ({G, B}) . Had the question been "what's the probability of both the children coming to the room being boys given that one is surely a boy, then the sample space will contain BB, BG and GB and probability would be 1/3)
+Since, it's given that the first one is a boy, the second event is independent of the first and the probability is 1/2.(The sample space contains only the events concerning the second child ({G, B}) . Had the question been "what's the probability of both the children coming to the room being boys given that one is surely a boy", then the sample space will contain BB, BG and GB and probability would be 1/3)
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+[[Category: Probability questions]]

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 ==={{Template:Author|Arjun Suresh|{{arjunweb}} }}===
-Since, it's given that the first one is a boy, the second event is independent of the first and the probability is 1/2.
+Since, it's given that the first one is a boy, the second event is independent of the first and the probability is 1/2.(The sample space contains only the events concerning the second child ({G, B}) . Had the question been "what's the probability of both the children coming to the room being boys given that one is surely a boy, then the sample space will contain BB, BG and GB and probability would be 1/3)
 {{Template:FBD}}
 [[Category: Probability and Combinatorics ]]

@@ Line 10: / Line 10: @@
 ==={{Template:Author|Arjun Suresh|{{arjunweb}} }}===
-Since, it's given that the first one is a boy, the second event is independent of the first and the probability is 1/2. Had it been "one of the children is a boy" instead of "first one is a boy" then the probability of two children being boys would have been 1/3 (sample space BB, BG, GB).
+Since, it's given that the first one is a boy, the second event is independent of the first and the probability is 1/2.
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 [[Category: Probability and Combinatorics ]]

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-A man visits a couple who have 2 children. one of the children, a boy, comes into the room. find the probability p that the other is also a boy.
+A man visits a couple who have 2 children. one of the children, a boy, comes into the room. find the probability <math>p</math> that the other is also a boy.
-(a)1/3 (b)2/3 '''(c)1/2''' (d)3/4
+(a)1/3
 ===Solution===