imagine rolling a 6 - sided number cube. fill...
imagine rolling a 6 - sided number cube. fill out each venn diagram with the appropriate outcomes, then explain why the two events are disjoint or overlapping. part of number 1 has been completed for you.\n1. event a: rolling a 1\nevent b: rolling an even number\nare these events disjoint or overlapping? why?\n2. event a: rolling a number greater than 5\nevent b: rolling an odd number\nare these events disjoint or overlapping? why?\n3. event a: rolling a 1, 2 or 4\nevent b: rolling a prime number\nare these events disjoint or overlapping? why?\nread each sentence. add commas where they are needed.\n4. after the winter storm it was difficult to walk up the slippery steep driveway.\n5. while i was finishing my breakfast the school bus arrived.\n6. i was born in rochester new york on january 28 2006.\n7. before she leaves for baseball leila packs her bag with a water bottle her baseball glove her helmet and her bat.\n8. ani was exhausted from a long day of school and babysitting but he had to finish his homework before he could go to sleep.\n9. dylan please take your shoes off before coming inside.\n10. divergent a book by veronica roth takes place in the future.
Answer
# Explanation:
## Step1: Define disjoint and overlapping
Disjoint: no common outcomes. Overlapping: common outcomes.
## Step2: Analyze 1
Event A: {1}, Event B: {2, 4, 6}. No common elements, disjoint.
## Step3: Analyze 2
Event A: {6}, Event B: {1, 3, 5}. No common elements, disjoint.
## Step4: Analyze 3
Event A: {1, 2, 4}, Event B: {2, 3, 5}. Common element 2, overlapping.
## Step5: Add commas
4. After the winter storm, it was difficult to walk up the slippery, steep driveway.
5. While I was finishing my breakfast, the school bus arrived.
6. I was born in Rochester, New York, on January 28, 2006.
7. Before she leaves for baseball, Leila packs her bag with a water bottle, her baseball glove, her helmet, and her bat.
8. Ani was exhausted from a long day of school and babysitting, but he had to finish his homework before he could go to sleep.
9. Dylan, please take your shoes off before coming inside.
10. Divergent, a book by Veronica Roth, takes place in the future.
# Answer:
1. Disjoint. No common outcomes.
2. Disjoint. No common outcomes.
3. Overlapping. 2 is common.
4. After the winter storm, it was difficult to walk up the slippery, steep driveway.
5. While I was finishing my breakfast, the school bus arrived.
6. I was born in Rochester, New York, on January 28, 2006.
7. Before she leaves for baseball, Leila packs her bag with a water bottle, her baseball glove, her helmet, and her bat.
8. Ani was exhausted from a long day of school and babysitting, but he had to finish his homework before he could go to sleep.
9. Dylan, please take your shoes off before coming inside.
10. Divergent, a book by Veronica Roth, takes place in the future.