SOLUTION: Christina is planning on having 7 children. a. Determine the probability that all of her children will be girls. b. If her first 6 children are boys and she is expecting anot

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Question 1118179: Christina is planning on having 7 children.
a. Determine the probability that all of her children will be girls.
b. If her first 6 children are boys and she is expecting another child, what is the probability that her 7th child will be a girl?
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
With 6 children, there are possible combinations.
One of them is all girls so,

.
.
.
The assumption is that each event is independent so,
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.
Christina is planning on having 7 children. 

a.  Determine the probability that all of her children will be girls.


       - This probability is   =  =  = 0.0078 = 0.78%.



b.  If her first 6 children are boys and she is expecting another child, what is the probability that her 7th child will be a girl?


        - I don't know what Biology says in this case . . . 

          But the standard probabilistic model says that this probability is   = 0.5 = 50%.


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