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Tenth Grade (Grade 10) Represent and Determine Probability Questions

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Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.8
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

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Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.6
Janet, Cam, and Mike arrive at a school party and there are only four cupcakes left. Everyone else has eaten enough cupcakes and will eat no more. Below is table of all possible ways these four cupcakes could be eaten by these three people. How likely it is that Janet will eat more cupcakes than Cam and Mike, given that before Janet gets to the cupcake table, Cam and Mike have already each eaten a cupcake?

JanetCamMike
400
310
301
220
202
211
130
103
121
112
040
004
031
013
022
  1. 4/15, because there are only four possible scenarios in which Janet eats more cupcakes out of the total 15 possibilities.
  2. 3/14, since for row 1, neither Cam nor Mike has had a cupcake.
  3. 1/12, because rows 1-3 don't count, as they have Mike and Cam eating only one cupcake between them (and two need to have been already eaten).
  4. 1/6, since rows 1-5, 7, 8, 11, 12 aren't included as they don't have Cam and Mike as having eaten at least one cupcake each.
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

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Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

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Grade 10 Represent and Determine Probability CCSS: HSS-MD.B.6
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