What is the sample space for each one of the following statements? (7.5 points each)

a) We have a bag containing white and black balls( number of balls are infinite). we keep drawing the balls until we see two white balls (or black balls) in consecutive draw.
b) We have a bag containing 10 balls (numbered from 1 to 10) we choose 4 balls and save the order(of the numbers).

Question

contestada

Respuesta :

facundo3141592 facundo3141592 · Answer 1 · 2021-09-20T14:08:41+02:00

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.

So all the elements in this set will have the form

{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:

https://brainly.com/question/23125812