write-sample-spaces-for-the-experiments-in-exercises-310-a-coin-is-tossed-and-a-die-is-rolled

Question

Write sample spaces for the experiments in Exercises 3–10.

A coin is tossed, and a die is rolled.

Amy Jiang · Accepted 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.

Amy Jiang · 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.

Jacquelyn Trost · Answer

This experiment involves both a dye and a coin. A standard die has six possibilities. One through six and a coin has two possibilities, either heads or tails. So when I put these together, I could have a one with either a head or a tail. I could have a two with a head or a tail, a three with a head or a tail and so on. For every possible outcome on my die, each number has two possibilities when paired with the coin. So these 12 outcomes together all are all equally likely to happen, and they make up the sample set for this particular experiment.

Jacquelyn Trost · Answer

So let&#x27;s create our sample space that shows all of the equally likely outcomes for this experiment. Well, this experiment has two parts. First, I&#x27;m going to roll a die. Well, they die. A normal ordinary die has six sides. One through six. After I rolled the die, I&#x27;m going to toss a coin and a coin typically has two outcomes. A head or a tail. So how many different ways can I put these together? Well, let&#x27;s say I get a one first. All I could do one is ahead or one with a tail. If I roll a to first, I can have a two with a head or two with a tail. I have the same two options. If I roll a three, a four of five or a six each roll of the die has two options, depending on how the coin is tossed. So all in all this sample space has 12 different, equally likely outcomes.

Kerry Thornton-Genova · Answer

a sample space is a list of all possible outcomes. In this case, we&#x27;re rolling a die and flipping a coin. First. Let&#x27;s to think about what the outcomes are for the die. It could be a one A to a three, a four of five or six. In the case of the coin, it could be a heads or it could be a tails. Thus, we have to combine these two things to come of their up with their samples base. Let&#x27;s let the diving the first value and the coin be the second. We could roll one and get a heads. What? Or we could roll one and get a tale. Next we could roll to and get ahead, or we can roll it to and get a tale. We could also roll three and get ahead. Or we could roll three and get a tale. We can roll four and then get ahead. Or we could roll for and get a tale. We could rule a five and get ahead, or we could rule five and get a tale. We could also Row six and get ahead or lastly, bigger role of six and get a tale Thus, these orders pairs represent the possible outcomes of rolling a die and flipping a coin. There are 12 total possible outcomes in our event space.

Bahar Tehranipoor · Answer

in this question. What we&#x27;re gonna do is a term of the sample space for the experiment. So for a coin and a six sided die that are tossed so to find several space, basically, we&#x27;re just finding all the possibilities that could occur when we do this experiment when we tosic would toss the six sided die and we toss a coin. So with a coil, its first concert coin, you could either get heads or you can get tails. Now for a die, you could get 123456 So you can get 123456 either with a head or you can get 123456 with a tail. So I&#x27;m gonna write a couple of these in the form that you would turn in. The question with is one possible outcome is ahead and one or a head and two, like we were about, or a tail. And what? And a tail into or a tail and three so on and so on. This would be your samples based going on from head one through six, tail one through six thes air. All the possible outcomes for if you toss a coin in a six sided die

Problem

Write sample spaces for the experiments in Exerci…

Problem 9 Medium Difficulty

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

A coin is tossed, and a die is rolled.

Answer

$\{(\mathrm{H}, 1),(\mathrm{H}, 2),(\mathrm{H}, 3),(\mathrm{H}, 4),(\mathrm{H}, 5),(\mathrm{H}, 6),(\mathrm{T}, 1),(\mathrm{T}, 2),(\mathrm{T}, 3),(\mathrm{T}, 4)(\mathrm{T}, 5),(\mathrm{T}, 6) \}$

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$\{(\mathrm{H}, 1),(\mathrm{H}, 2),(\mathrm{H}, 3),(\mathrm{H}, 4),(\mathrm{H}, 5),(\mathrm{H}, 6),(\mathrm{T}, 1),(\mathrm{T}, 2),(\mathrm{T}, 3),(\mathrm{T}, 4)(\mathrm{T}, 5),(\mathrm{T}, 6) \}$

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

Kayleah T.

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

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