We can define the sample space for a given experiment as the set of all the possible outcomes for the experiment.
For example, tossing a coin has a space sample of 2 elements, tails and heads.
The spaces are:
a) {WW, BB, WBB, BWW, WBWW, BWBB,... }
b) { 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}
a) We can write one element in this sample space as:
WBB
This would mean that first we draw a white ball, then a black ball, and then the second black ball, thus we stop drawing.
<u>So all the elements in this set will have the form</u>
{WW, BB, WBB, BWW, WBWW, BWBB,... }
As we have infinite balls in the bag, we have infinite elements in this set.
b) Now we have only 10 balls numbered from 1 to 10, and we draw 4.
So each element in the sample space can be written as:
1-2-3-4
This element means:
"first we draw ball number 1, then ball number 2, then ball number 3, then ball number 4"
Then the sample space will have the form:
{ 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}
If you want to learn more, you can read:
brainly.com/question/23125812
so
. Plugging that into BDC we get 11