SOLUTION: What is the sample space for four births?

Question 947830: What is the sample space for four births?
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
B = boy
G = girl

Sample Space for four births:

{
BBBB,
BBBG, BBGB, BGBB, GBBB
BBGG, BGBG, GBBG, GBGB, GGBB, BGGB
BGGG, GBGG, GGBG, GGGB
GGGG
}

There are 16 ways to have 4 kids as shown above. The order matters since the one on the very left represents the first child and the one on the very right represents the fourth child.

Example: BGGB means 1st child is a boy, 2nd is a girl, 3rd is a girl, 4th is a boy

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
A sample space is a set of all possible outcomes for an activity or experiment.
four births, boy or girl will have possible outcomes

Let's build the tree to:

Using the tree, we get the sample space:

{b,b,b,b}
{b,b,b,g}
{b,b,g,b}
{b,b,g,g}
{b,g,b,b}
{b,g,b,g}
{b,g,g,b}
{b,g,g,g}

{g,b,b,b}
{g,b,b,g}
{g,b,g,b}
{g,b,g,g}
{g,g,b,b}
{g,g,b,g}
{g,g,g,b}
{g,g,g,g}
so, there is possible outcomes all together
So for instance {b,g,g,b} means that the couple had a boy, girl, girl, and then a boy (in that order).

Note: recall, the sample space is the set of ALL possible outcomes.

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