Question

a bag contains ten blocks labeled with the numbers 1 through 10. brad and natalie both ra
set b represents brad’s results. set n represents natalie’s results.

b = {1, 2, 3, 7, 9}
n = {3, 5, 6, 9, 10}

which outcome describes the event e = {3, 9}?

a. blocks that are not chosen
b. blocks that are multiples of 3
c. blocks chosen by brad or natalie
d. blocks chosen by brad and natalie

Explanation:

To determine the event \( E = \{3, 9\} \), we analyze each option:

• Option A: Blocks not chosen would be numbers not in \( B \) or \( N \), which is not \( \{3, 9\} \).
• Option B: Multiples of 3 between 1 - 10 are 3, 6, 9. But \( E \) is \( \{3, 9\} \), not including 6, so this is incorrect.
• Option C: Blocks chosen by Brad or Natalie is \( B \cup N=\{1, 2, 3, 5, 6, 7, 9, 10\} \), not \( \{3, 9\} \).
• Option D: Blocks chosen by both Brad and Natalie is the intersection \( B \cap N \). Calculating \( B \cap N \): common elements in \( B = \{1, 2, 3, 7, 9\} \) and \( N = \{3, 5, 6, 9, 10\} \) are 3 and 9, so \( B \cap N=\{3, 9\} \), which matches \( E \).

Answer:

D. blocks chosen by Brad and Natalie