SOLUTION: Construct a sample space of a couple who wants to have five children(excluding multiples)

Algebra.Com
Question 631485: Construct a sample space of a couple who wants to have five children(excluding multiples)
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
The sample space is

{ B, B, B, B, B }
{ B, B, B, B, G }
{ B, B, B, G, B }
{ B, B, B, G, G }
{ B, B, G, B, B }
{ B, B, G, B, G }
{ B, B, G, G, B }
{ B, B, G, G, G }
{ B, G, B, B, B }
{ B, G, B, B, G }
{ B, G, B, G, B }
{ B, G, B, G, G }
{ B, G, G, B, B }
{ B, G, G, B, G }
{ B, G, G, G, B }
{ B, G, G, G, G }
{ G, B, B, B, B }
{ G, B, B, B, G }
{ G, B, B, G, B }
{ G, B, B, G, G }
{ G, B, G, B, B }
{ G, B, G, B, G }
{ G, B, G, G, B }
{ G, B, G, G, G }
{ G, G, B, B, B }
{ G, G, B, B, G }
{ G, G, B, G, B }
{ G, G, B, G, G }
{ G, G, G, B, B }
{ G, G, G, B, G }
{ G, G, G, G, B }
{ G, G, G, G, G }

Notice there are 2^5 = 32 ways to have 5 children.


Note: an element like "{ G, B, G, B, B }" tells us that the first child is a girl, the second is a boy, the third is a girl, and the last two kids are boys.


--------------------------------------------------------------------------------------------------------------
If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
--------------------------------------------------------------------------------------------------------------

RELATED QUESTIONS

A couple wants to have three children Using the tree diagram to create a sample space... (answered by ikleyn)
a couple plans to have 2 children (a) determine the number of sample points in the... (answered by Boreal)
Gender of Children: Constructing Sample Space. This section included a table summarizing... (answered by stanbon)
A couple plan to have exactly three children. (a) Construct a tree diagram and list the (answered by stanbon)
A couple plan to have exactly three children. (a) Construct a tree diagram and list the (answered by stanbon)
A couple plan to have exactly three children a) Construct a tree diagram and list the... (answered by stanbon)
A couple plan to have exactly four children. a) construct a tree diagram and list the... (answered by Mathtut)
I got this one wrong: A couple plan to have exactly four children. (a) Construct a (answered by jim_thompson5910)
A couple plan to have exactly four children. (a) Construct a tree diagram and list... (answered by jim_thompson5910)