write-sample-spaces-for-the-experiments-in-exercises-310-a-box-contains-five-balls-numbered-1-2-3-4-

Question

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.

Amy Jiang · Accepted Answer

Okay, so we&#x27;re given that we have a box that contains five ball, Let&#x27;s say very which draw eyeballs. 12345 And each is labeled a number from 1 to 5. So that&#x27;s 12 34 and five. Now we&#x27;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&#x27;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&#x27;s from 1 to 6. So let&#x27;s draw that out, or that&#x27;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&#x27;s from I thought. We get all these up to six comes six.

Amy Jiang · Answer

Okay, so we went to find in the sample straits for a coin being told us. Kilcoyne has two options. A head or tail. And for a dying, it could be road from between one, 26 You were asked, What is the sound of space of tossing a coin and rolling a die so we can or die? Or a coin can have a head and a dyke. Inner one Sending ahead and then two jointed out for all possible. Full cases off heads. Okay. And then we have the same possible cases if we roll. According that lands tail. Okay, so we get the phone.

Jacquelyn Trost · Answer

when I&#x27;m drawing these pieces of paper. When I pick the first piece, I could have any one of the 4123 or four. But after I pull out the slip, I put it to the side. So when I pulled the second slip, I could never get a duplicate. So if I pick one, my only other options would be 23 and four. If I picked two for my first slip, my 2nd 1 could be one, three or four again. I can&#x27;t pick to twice because I&#x27;m setting that slip aside after I pick it. Likewise, if I pick three first, I can pick a one two or four on that second picking and of Hey, pick fours, my 1st 1 My options are four and one for in two or four in three. So this is the sample set for this particular experiment, where I draw one slip of paper, set it aside, then draw a second

Ankit Gupta · Answer

So in this problem, we have out come probability. So no, for outcome, it is one do 34 and five for number one. We have 0.5. Since there are five numbers and out of five numbers and toe in total, we have 10 members five by 10 0 by fight for two. It is 0.34 outcome too. 40 0.1. And for 42 0 appointment And since there are no number for five probabilities zero now, we deplored this in the draft. So now we can see that we have are probably things do tend at 0.50 point 30.10 point one and zero and B, we have from 1 to 5. No, we applauded so we can see that it is ranging from 0.5 0.30 point one, then 0.14 50 Element. It is you. So there is no probability

Ankit Gupta · Answer

so no. In this problem, we will complete our table. So we have out come and probably And we have 1.12345 No, we have to find the probability for each number day 0.20 point two 0.2. You don&#x27;t point to zero point. It is because for each probability, the number is only one time out of fight. So all are one body five one by five, one bite fight one bite fight on one by one. Now we will use the graphic so graphic we can see that we have points 0.25 elements and I&#x27;ll be is ranging From what do doctors Five limiting the list. So therefore, if we see our graph, it is ranging on lease from 0.2, which is a single graph a single line because only off single point. Is there doctors, You know, point

Amy Jiang · Answer

Okay, so we have slips. Number 2125 and two are drawn time scandalously so we can have a one and a two. I want one. Want to? We can&#x27;t have a one and one because we draw two at once. So and there&#x27;s only one simple fun. So we have one comment to one common three. One come before or one comma. Five. We can also have a to common one, not a two comma two. So that&#x27;s to come with three to calm before and to come of five. Or we can have a three common one, three, comma two and we can&#x27;t have a degree Common three. So basically, we can&#x27;t have two numbers that are the same numbers for one for two, 43 count at 44 So 45 And lastly, we could have 51 52 five, three and 54 So this is our sample space. And for our first part report, they were asked to find, um when both ships are marked with even numbers. Okay, so I first wrote it didn&#x27;t have even numbers. Our second roll. There&#x27;s a two and a four. So that&#x27;s an even number. We can also have see a four in it, too. But that&#x27;s the same as two and four since where&#x27;s Ah, swapping them around? So what&#x27;s to say A is two comma four? Okay, Now for Part B, we have one. Slip is marked with the odd number, and the other is marked with an even number. Okay, so before I do that, let&#x27;s remove the ones that have be Pete&#x27;s. So it has to come before is the same as for comment, too. So we say one comma two is the same as two Company 31 Common three is the same as to become a one one come before is the same as for common. 115 is there was 5123 of the same is 32 25 or to foreign famous for 2 to 5 of the same. It&#x27;s far too okay, and then we have 34 that status for three 35 That&#x27;s the same as 53 and 45 is the same. It&#x27;s five years to notice that we only have our upper, um, diagonal portion. Okay, so for part B, we wanted one step is marked with an odd and the other is more cute than even. So we see 12 That&#x27;s odd. And even 13 is both hard won. Four is odd, and even when five is both odds, two and three is on and even two and four, that&#x27;s both even two and five. That&#x27;s odd and even, or even a nod. Something on 34 that&#x27;s even in off and 35. That&#x27;s both odd. 45 That&#x27;s ought. And even so, we have 123456 We have one common to one come before to common. Three to come a five three com before and lastly, we have four come with five. Okay, And now for part C, we want both slips are marked with the same number. Well, actually, this is impossible, right? Cause we&#x27;re drawn to simultaneously so we can&#x27;t have 11 because we only have one slip with one. So that&#x27;s just the empty set

Problem

Define an event.

Problem 10 Medium Difficulty

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.

Answer

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

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

Finite Mathematics and Calculus with Applications

Anna Marie V.

Heather Z.

Kristen K.

Samuel H.

Integration Review - Intro

Definite vs Indefinite

Margaret L. Lial, Raymond N. Greenwell, Nathan P. RitcheyFinite Mathematics and Calculus with Applications

Anna Marie V.

Heather Z.

Kristen K.

Samuel H.

Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Finite Mathematics and Calculus with Applications