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student | 2. Your team is in charge of games at the CMP amusement park. One of the games involves a robotic arm that randomly grabs a stuffed animal. You need to set up the game so that the probability of a customer grabbing a teddy bear is exactly 1/2 how would you set up the bin? | 17,370 | 8 | [] |
volunteer | Is it fine if we get to the second one later? | 17,370 | 9 | [] |
student | Yeah sorry | 17,370 | 10 | [] |
student | We have 12 marbles in total | 17,370 | 11 | [] |
volunteer | Yes! | 17,370 | 12 | [] |
volunteer | and how many blue? | 17,370 | 13 | [] |
student | 4 marbles | 17,370 | 14 | [] |
volunteer | yes. could we develop a fraction of blue / total | 17,370 | 15 | [] |
student | Sure | 17,370 | 16 | [] |
volunteer | What would that be? | 17,370 | 17 | [] |
student | 4/12? | 17,370 | 18 | [] |
volunteer | And can we simplify that? | 17,370 | 19 | [] |
student | Uh I think so | 17,370 | 20 | [] |
volunteer | Yes! | 17,370 | 21 | [] |
volunteer | if we divide 12 by 4 what would we get | 17,370 | 22 | [] |
student | 3? | 17,370 | 23 | [] |
volunteer | yes | 17,370 | 24 | [] |
volunteer | so the fraction would then be 1/3 | 17,370 | 25 | [] |
volunteer | Now if we were to make that fraction 1/10 would we be adding to the numerator or denominator | 17,370 | 26 | [] |
student | Numerator | 17,370 | 27 | [] |
volunteer | Well, not really, since we would be making the number smaller | 17,370 | 28 | [] |
volunteer | for example, what is smaller-1/5 or 1/10 | 17,370 | 29 | [] |
student | Uh the -1/5? | 17,370 | 30 | [] |
volunteer | So sorry, i meant 1/5 or 1/10 | 17,370 | 31 | [] |
student | Oh | 17,370 | 32 | [] |
student | It’s okay | 17,370 | 33 | [] |
volunteer | So now what would be smaller | 17,370 | 34 | [] |
student | 1/10? | 17,370 | 35 | [] |
volunteer | Yes | 17,370 | 36 | [] |
volunteer | So, using that same logic, to make 1/3 to 1/10 what would happen? | 17,370 | 37 | [] |
volunteer | Would the number get bigger or smaller | 17,370 | 38 | [] |
volunteer | ? | 17,370 | 39 | [] |
student | Bigger | 17,370 | 40 | [] |
volunteer | Almost! | 17,370 | 41 | [] |
volunteer | since you are getting a bigger value of the denominator, the fraction would be getting smaller | 17,370 | 42 | [] |
volunteer | remember how 1/10 is smallr than 1/5 | 17,370 | 43 | [] |
student | YEAH | 17,370 | 44 | [] |
volunteer | So then 1/3 would get smaller to get to 1/10. Do you get it now? | 17,370 | 45 | [] |
volunteer | ? | 17,370 | 46 | [] |
student | No :< | 17,370 | 47 | [] |
volunteer | Ok, if you had a pizza, what would be a smaller slice | 17,370 | 48 | [] |
volunteer | 1 slice out of 8 or 4 slices | 17,370 | 49 | [] |
student | 1/8 | 17,370 | 50 | [] |
volunteer | Yes! | 17,370 | 51 | [] |
volunteer | This shows how 1/8 is smaller than 4/8 | 17,370 | 52 | [] |
volunteer | Now do you understand? | 17,370 | 53 | [] |
student | Yes | 17,370 | 54 | [] |
volunteer | Okay, with this being said, to make 1/3 to 1/10 are you getting bigger or smaller | 17,370 | 55 | [] |
student | Smaller | 17,370 | 56 | [] |
volunteer | Yes!!! | 17,370 | 57 | [] |
volunteer | So if 4/12 is 1/3, 4/? is 1/10 | 17,370 | 58 | [] |
volunteer | That is basically what we are figuring out | 17,370 | 59 | [] |
volunteer | To start, how many times do you have to multiply 4 to get 12 | 17,370 | 60 | [] |
student | 3? | 17,370 | 61 | [] |
volunteer | yes | 17,370 | 62 | [] |
volunteer | So how many times do you have to multiple 4 to get 1/10 | 17,370 | 63 | [] |
volunteer | since you did 4 times the denominator (3) | 17,370 | 64 | [] |
volunteer | to get 1/10 you will do 4 times the denominator (?) | 17,370 | 65 | [] |
volunteer | ? | 17,370 | 66 | [] |
volunteer | ? | 17,370 | 67 | [] |
volunteer | Do you understand how to do this? | 17,370 | 68 | [] |
student | No :( | 17,370 | 69 | [] |
volunteer | Ok-So since the denominator was 3 for 1/3, if we multiplied 4 times 3 we got 4/12 (which is the ratio of blue to total) | 17,370 | 70 | [] |
volunteer | Using this same principle, if we multiply 4 times 10 we will get? | 17,370 | 71 | [] |
student | 40!!!! | 17,370 | 72 | [] |
volunteer | YES! | 17,370 | 73 | [] |
volunteer | But thats not it | 17,370 | 74 | [] |
volunteer | Since the question is saying how many marbles to add, we would do 40-? | 17,370 | 75 | [] |
volunteer | what would we subtract from 40 | 17,370 | 76 | [] |
student | 12? | 17,370 | 77 | [] |
volunteer | YES!!!!!!!!!!!!!!!!!! | 17,370 | 78 | [] |
volunteer | So what is 40-12 | 17,370 | 79 | [] |
student | HOLD ON LET ME DO THE MATH FOR IT | 17,370 | 80 | [] |
volunteer | lol go ahead lol | 17,370 | 81 | [] |
student | 32? | 17,370 | 82 | [] |
volunteer | Almost! | 17,370 | 83 | [] |
volunteer | here lets break it down a bit | 17,370 | 84 | [] |
volunteer | what is 40-10 | 17,370 | 85 | [] |
student | 30 | 17,370 | 86 | [] |
volunteer | THEN do minus 2 more | 17,370 | 87 | [] |
student | 28 | 17,370 | 88 | [] |
volunteer | YAYAYYAYY!!! | 17,370 | 89 | [] |
volunteer | Thats the answer! | 17,370 | 90 | [] |
volunteer | Now we can get started on our second problem: 2. Your team is in charge of games at the CMP amusement park. One of the games involves a robotic arm that randomly grabs a stuffed animal. You need to set up the game so that the probability of a customer grabbing a teddy bear is exactly 1/2 how would you set up the bin? | 17,370 | 91 | [] |
volunteer | So what do we know straight from the beginning | 17,370 | 92 | [] |
volunteer | (What is the probability we need? | 17,370 | 93 | [] |
student | 1/2? | 17,370 | 94 | [] |
volunteer | YES! | 17,370 | 95 | [] |
volunteer | This would mean that every two times someone used the stick, how many stuffed animals would we get | 17,370 | 96 | [] |
student | 1? | 17,370 | 97 | [] |
volunteer | Yes | 17,370 | 98 | [] |
volunteer | So to make a machine you would need to ensure there is half teddy bears right | 17,370 | 99 | [] |
student | Okay | 17,370 | 100 | [] |
volunteer | So if there were 50 other stuff we would need how many teddy bears | 17,370 | 101 | [] |
student | 20? | 17,370 | 102 | [] |
volunteer | No, in this case it would be 50 since it is the otehr half | 17,370 | 103 | [] |
student | OH | 17,370 | 104 | [] |
volunteer | So in conclusion, we would need to make the machine have as many teddy bears as other prizes. | 17,370 | 105 | [] |
student | OKAY | 17,370 | 106 | [] |
volunteer | Anything else you need help with today? | 17,370 | 107 | [] |
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