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Common Core Standard HSS-CP.A.1 Questions

Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).

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Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
Given [math]S_1 = {A,B,C,D,E}, \ \ S_2 = {C,D,E,F,G,H}[/math], find [math]S_1 uu S_2[/math].
  1. [math]{A, B, C, D, E, F, G, H}[/math]
  2. [math]{C,D,E}[/math]
  3. [math]{A,B,F,G,H}[/math]
  4. [math]{A+B+2C+2D+2E+F+G+H}[/math]
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
Given [math]A = {22,24,26,28}, \ \ B = {21,23,25,27}[/math], find [math]A nn B[/math].
  1. [math]{21,22,23,24,25,26,27,28}[/math]
  2. [math]emptyset[/math]
  3. [math]{22,23,24,25,26,27}[/math]
  4. [math]{24,25}[/math]
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
Find [math]S_1 nn S_2[/math] if [math]S_1 = {a,g,j,t,e,w,z}[/math] and [math]S_2 = {b,c,g,t,l,r,e,x,h,p}[/math].
  1. [math]{a,g,i,t,e,w,z,b,c,g,t,l,r,e,x,h,p}[/math]
  2. [math]{a,b,c,e,g,h,i,l,p,r,t,w,x,z}[/math]
  3. [math]{a,b,c,g,h,i,l,p,r,w,x,z}[/math]
  4. [math]{e,g,t}[/math]
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
For the sets [math]A = {green, yellow, blue, red}[/math] and [math]B = {blue}[/math], find [math]AuuB[/math].
  1. [math]{blue}[/math]
  2. [math]{green, yellow, red}[/math]
  3. [math]{green, yellow, blue, red}[/math]
  4. [math]emptyset[/math]
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
Let [math]A = {"numbers greater than 5"}[/math] and [math]B= {"numbers less than 12"}[/math]. What is [math]A nn B ? [/math]
  1. [math]{"numbers between 5 and 12"}[/math]
  2. [math]{"all numbers"}[/math]
  3. [math]{"numbers less than 5 and greater than 12"}[/math]
  4. [math]{5,12}[/math]
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
Find [math]A nn B nn C[/math] if [math]A = {2,4,6,8,10}, \ \ B = {1,2,3,4,5,6}[/math], and [math]C = {2,6,10,14}[/math].
  1. [math]emptyset[/math]
  2. [math]{2,4,6,10}[/math]
  3. [math]{1,2,3,4,5,6,8,10,14}[/math]
  4. [math]{2,6}[/math]
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
Find [math]A uu B[/math] when [math]A = {1,2,3,4,5,6} and B = {2,4,6,8,10}[/math].
  1. [math]A uu B = {2, 4, 6}[/math]
  2. [math]A uu B = {1, 2, 3, 4, 5, 6, 8, 10}[/math]
  3. [math]A uu B = {1, 2, 2, 3, 4, 4, 5, 6, 6, 8, 10}[/math]
  4. [math]A uu B = {1, 3, 5}[/math]
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
Given [math]A = {10,20,30,40,50}[/math] and [math]A uu B = {10,15,20,25,30,40,50}[/math], which of the following is correct? Choose all correct answers.
  1. [math]{10,15,20,40,50}[/math]
  2. [math]{10,15,20,25}[/math]
  3. [math]{15,25}[/math]
  4. [math]{5,10,15,20,25}[/math]
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
Given [math]A = {1,2,3,4,5}, \ \ B = {4,5,6,7,8}, \ \ C = {6,7,8,9,10}[/math], find [math]A uu B uu C[/math].
  1. [math]{1,2,3,4,5,6,7,8,9,10}[/math]
  2. [math]emptyset[/math]
  3. [math]{4,5,6,7,8}[/math]
  4. [math]{1,2,3,9,10}[/math]
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
Given [math]S_1 = {a,b,c,d,e}[/math] and [math]S_1 nn S_2 = {a,c,e}[/math], what does [math]S_2[/math] equal? Choose all correct answers.
  1. [math]{q,r,s,t,u,a,c}[/math]
  2. [math]{a,c,e}[/math]
  3. [math]{a,b,c,e,f,g}[/math]
  4. [math]{a,z,g,c,h,j,k,e,f,g}[/math]
Grade 9 Represent and Determine Probability CCSS: HSS-CP.A.1
A class has 11 boys and 9 girls. Two of the students will be selected at random to serve on a committee. What is the probability that both of the selected students will be girls?
  1. [math]72/400[/math]
  2. [math]18/95[/math]
  3. [math]81/380[/math]
  4. [math]81/121[/math]
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.1, HSS-CP.A.2
If a six-sided die is rolled and then a quarter is flipped, what is the probability of getting an even number and tails?
  1. [math]1/4[/math]
  2. [math]1/6[/math]
  3. [math]1/2[/math]
  4. [math]1/8[/math]
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