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Write sample spaces for the experiments in Exercises 3–10.

A box contains five balls, numbered 1, 2, 3, 4, and 5. A ball is drawn at random, the number on it recorded, and the ball replaced. The box is shaken, a second ball is drawn, and its number is recorded.

$\{(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(2,5),(3,1)(3,2),(3,3),(3,4),(3,5),(4,1),(4,2),(4,3),(4,4),(4,5),(5,1),(5,2),(5,3),(5,4),(5,5), \}$

Calculus 2 / BC

Chapter 7

Sets and Probability

Section 3

Introduction to Probability

Sequences

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Okay, so we're given that we have a box that contains five ball, Let's say very which draw eyeballs. 12345 And each is labeled a number from 1 to 5. So that's 12 34 and five. Now we're asked, um, or were given that a ball is drawn at random, recorded on a paper, some sort of some sort, and then put back in, Shaken on Drawn Again. What is our possible sample space? Okay, so it's possible for us to draw a one a ball. They would one on her first draw and then a one on our second draws. Well, and then we can do that. We can fix or first ball to always be one, and then very our second drawl. So that's from 1 to 6. So let's draw that out, or that's right that out. Okay. And then we can now fix it to two. And very are, um, second value. Okay, so we can keep on doing that until we get our last possible, um, draw, which is a six and a six. Okay, So I would just list out all the possible, um, drawls and the next one will be five in our last one. It would be six. And that's from I thought. We get all these up to six comes six.

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