you-are-one-of-10-students-performing-in-a-school-talent-show-the-order-of-the-performances-is-deter

Question

You are one of 10 students performing in a school talent show. The order of the performances is determined at random. The first 5 performers go on stage before the intermission.
a. What is the probability that you are the last performer before the intermission and your rival performs immediately before you?
b. What is the probability that you are not the first performer?

Heather Zimmers · Accepted Answer

all right, so there are 10 performers. And so the probability that you are the 5th 1 the one who goes just before intermission would be one out of 10. And then the probability that your rival is the 4th 1 the one right before you is also one out of 10. So for both of those things to happen, we multiply 1/10 time&#x27;s 1/10 and we get 1 1/100 So that&#x27;s the probability. If you express it as a decimal, it&#x27;s 0.1 And the probability that you&#x27;re not first is equal to the probability that someone else is first. And there are nine other people, so that would be nine out of 10 and as a decimal, that would be 0.9.

Heather Zimmers · Answer

Okay, so on a given day there will be four presenters. So let&#x27;s say it&#x27;s already established that you are presenting. What&#x27;s the probability that you go first? Well, that would be one out of four, because we know the four people who were presenting that day, and we know that you are one of them. What&#x27;s the probability that you go second again? That would be one out of four. What&#x27;s the probability that you go first or second because of the or we add these together and that would give us 1/2. So the probability that you go first or second is 1/2. And if you want to write that as a decimal, it&#x27;s 0.5. What&#x27;s the probability that you go second or you go third? We&#x27;ve already calculated the probability that you go second is 1/4. The probability that you go third is also 1/4. There are four people, and you&#x27;re one of them, and we&#x27;re gonna add those together just like we did the other one. And so the probability that you go second or third is also 1/2 and you could write that as 0.5 instead, so these are exactly the same

Dalia Rodriguez · Answer

so 100 people enter into a contest and different winners are selected at random for 1st 2nd and third prices. And we want to know if Michelle is a contestant, one of the 100 contestants. What is the probability that she wants one of these prizes? Well, that is the same as thinking. What is the probability that Michelle has either 1st 2nd or third place? Well, if Michelle is aside one of the&#x27;s numbers at random from 1 to 100 then she has a probability of three over 100 to be either first place, second place or third place. So the probability that Michelle wins one of these through prices is three over 100.

Eric Wendland · Answer

self. In this example, you&#x27;re being drama or new. So we have 324 students written out, then diagram you don&#x27;t have in front of you. So we know that 51 or drama 63 or Music 11 or drama and music. Well, vernal three Tuner and drama and athletics under date are in athletics, and we know we do not care about that population cause they&#x27;re just in athletics and then seven our music and athletes. So in every single category that has either drama our music, we&#x27;re gonna add those up and then find a total probability. So in this case, we care about everything besides the kids who are just in athletics. So we have you want drama plus 63 music. 11 drama music. Well, better in all three senior and drama athletics. I&#x27;m then the seven batter in Music Out year. So we add all this up. We have 159 total students over 324 students, and then we can simplify this down a little bit into 53 over one away. This is the probability being and drama or being in use

Heather Zimmers · Answer

for the game show. There are 300 people in the audience and two of them are chosen, so the number of combinations of two out of 300 would be 300 choose to. And that&#x27;s 44,850 of all of those combinations. The combination, the number of combinations that includes you and your friend is just one. So the probability that it&#x27;s you and your friend is just one of those 44,850 possible combinations. Sorry that your odds aren&#x27;t better.

Eric Wendland · Answer

so in this example, were asked to find the probability being in drama. Orin. So in this case, we care about everyone who&#x27;s in drama and everyone who anyone who&#x27;s just only in music we do not care about do not factor into. So we know that. 50. There&#x27;s 324 students 51 drama for your music on. Then you can read out the rest of these numbers listed about out front of you just in case you died. Probability of being in drama athletics So what&#x27;s our boys? Probabilities of probability? Drama plus drama, music All three drama athletics just athletics on DDE use. So this is gonna be equal Thio 204 and we know there are 324 total students. So in this case, simplify this fraction down. We&#x27;re looking at 17. 27

Problem

How many integers, greater than 999 but not great…

Problem 55 Hard Difficulty

Answer

A) 0.01
B) 0.9

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A) 0.01B) 0.9

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Megan C.

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Michael D.

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Ron Larson, Laurie BoswellGeometry A Common Core Curriculum

Megan C.

Maria G.

Kristen K.

Michael D.

A) 0.01
B) 0.9

Ron Larson, Laurie Boswell

Geometry A Common Core Curriculum