Statistics Quiz: Describing Events In Sample Spaces

According to the sample space $S=\{1,2,3,4,5,6,7,8\}$ for selecting one card labeled 1–8 from a bag, event $A$ is the set of even outcomes and event $B$ is the set of outcomes greater than 5. Which expression represents $A\cap B$ (A and B)?

According to the sample space $S=\{\text{apple},\text{banana},\text{carrot},\text{dates}\}$ for randomly selecting one item, event $A$ is "the item is a fruit" and event $B$ is "the item starts with the letter b." Which set represents $A\cap B$ (A and B)?

Using the outcomes listed, $S=\{\text{cat},\text{dog},\text{fish},\text{bird}\}$ for randomly selecting one sticker, let event $A$ be "selects a pet that lives in water" and let event $B$ be "selects a pet that can fly." Which set represents $A\cup B$ (A or B)?

Based on the sample space shown, $S=\{(H,H),(H,T),(T,H),(T,T)\}$ for flipping two coins (first flip, second flip), let event $A$ be "exactly one head" and event $B$ be "the first flip is a head." Which expression represents $A\cup B$ (A or B)?

According to the sample space $S=\{\text{M},\text{T},\text{W},\text{Th},\text{F}\}$ for randomly selecting one weekday (Monday through Friday), event $A$ is "the day starts with the letter T." Which set of outcomes represents event $A$?

Using the outcomes listed in the sample space $S=\{R1,R2,R3,B1,B2,B3\}$ for spinning a spinner that can land on Red 1, Red 2, Red 3, Blue 1, Blue 2, or Blue 3: Event $A$ is "lands on a Red outcome." Which set represents $A^c$ (not A)?

Based on the sample space $S=\{\text{A},\text{B},\text{C},\text{D},\text{E}\}$ for randomly choosing one letter tile, event $A$ is "the letter is a vowel" and event $B$ is "the letter comes after C in the alphabet (within S)." Which set represents $A\cap B$ (A and B)?

Using the outcomes listed for selecting one marble from a bag, $S=\{R_s,R_l,B_s,B_l\}$ where $R$=red, $B$=blue, $s$=small, $l$=large. Let event $A$ be "the marble is red," and let event $B$ be "the marble is large." Which expression represents $A\cup B$ (A or B)?

Based on the sample space shown for choosing one ordered pair, $S=\{(1,1),(1,2),(2,1),(2,2)\}$, let event $A$ be "the sum of the two numbers is 3," and let event $B$ be "the first number is 2." Which expression represents $A\cup B$ (A or B)?

Using the outcomes listed for a spinner with 6 equal sections labeled $S=\{R1,R2,B1,B2,G1,G2\}$ (R=red, B=blue, G=green), define event $A$ as "the outcome is red" and event $B$ as "the outcome has number 2." Which expression represents $A\cup B$ (A or B)?

Using the outcomes listed, a student randomly selects one card from a set labeled $S=\{1R,1B,2R,2B,3R,3B\}$ (number 1–3 and color R=red or B=blue). Let event $A$ be "the card is blue," and let event $B$ be "the number is 2 or 3." Which expression represents $A\cap B$ (A and B)?

Using the outcomes listed in $S=\{\text{small},\text{medium},\text{large}\}$ for selecting one T-shirt size, event $A$ is "the size is small" and event $B$ is "the size is large." Which set represents $A\cup B$ (A or B)?

According to the sample space $S=\{1,2,3,4,5,6,7,8\}$ for selecting one card labeled 1 through 8, let event $A$ be "the number is even" and event $B=\{x\in S\mid x>5\}$. Which expression represents $A\cap B$ (A and B)?

According to the sample space $S=\{10,11,12,13,14,15\}$ for selecting one integer, let event $A$ be "the number is a multiple of 3" and event $B$ be "the number is even." Which expression represents $A\cup B$ (A or B)?

Based on the sample space shown, $S=\{(1,1),(1,2),(1,3),(2,1),(2,2),(2,3)\}$ for rolling a 2-sided die (1–2) and a 3-sided die (1–3) and recording an ordered pair (first, second), let event $A$ be "the sum is 4" and event $B$ be "the first number is 2." Which set of outcomes represents $A\cap B$ (A and B)?

According to $S=\{\text{Mon},\text{Tue},\text{Wed},\text{Thu},\text{Fri},\text{Sat},\text{Sun}\}$, one day is chosen at random. Event $A=\{x\in S\mid x\text{ is a weekday}\}$. Which set of outcomes represents event $A$?

According to $S=\{1,2,3,4,5,6,7,8\}$, a number is chosen at random. Event $A$ is the event that the number is even. Event $B=\{x\in S\mid x>5\}$. Which expression represents $A\cap B$ (A and B)?

Based on the sample space shown, $S=\{(1,1),(1,2),(1,3),(2,1),(2,2),(2,3)\}$, a spinner with outcomes $\{1,2\}$ is spun and then a spinner with outcomes $\{1,2,3\}$ is spun; the ordered pair (first, second) is recorded. Event $A$ is the event that the sum is 4. Event $B=\{(2,1),(2,2),(2,3)\}$. Which expression represents $A\cap B$ (A and B)?

Using the outcomes listed in $S=\{\text{A},\text{B},\text{C},\text{D},\text{E},\text{F}\}$, one letter is selected at random. Event $A$ is the event that the letter is a vowel. Event $B=\{\text{D},\text{E},\text{F}\}$. Which expression represents $A\cup B$ (A or B)?

Using the outcomes listed in $S=\{\text{red},\text{blue},\text{green},\text{yellow}\}$ for a spinner, event $A$ is landing on a primary color (red, blue, or yellow). Which set represents $A^c$ (the complement of $A$, or not $A$)?