A coordinate plane shows all possible outcomes $(x,y)$ of randomly selecting one marble from Bag X and one marble from Bag Y, where $x$ is the number on the marble from Bag X and $y$ is the number on the marble from Bag Y. The graph of these outcomes includes exactly the four points $(1,2)$, $(1,5)$, $(4,2)$, and $(4,5)$. If one outcome is chosen at random from these four possible points, what is the probability that the selected point lies on the line $x+y=6$?

A science club recorded the results of 200 launches of a small model rocket. The table shows the number of launches that reached each maximum height range.

| Maximum height (meters) | Number of launches |
|---|---:|
| 0 to less than 20 | 18 |
| 20 to less than 40 | 46 |
| 40 to less than 60 | 72 |
| 60 to less than 80 | 44 |
| 80 or more | 20 |

One launch is selected at random from these 200 launches. Given that the selected launch reached a maximum height of at least 40 meters, what is the probability that it reached a maximum height of less than 80 meters?

A bag contains 4 green marbles, 3 yellow marbles, and 2 black marbles. Two marbles are drawn at random without replacement. Which of the following must be true about the probability of drawing 2 green marbles and the probability of drawing 2 yellow marbles?

A circular target is divided into 3 concentric regions with radii $2$ inches, $4$ inches, and $6$ inches. A dart lands at a random point on the target, with every point on the target equally likely. What is the probability that the dart lands in the middle region, the ring between radius $2$ and radius $4$?

A grocery store gives each customer who spends at least $20oneticketforaprizedrawing.Attheendoftheday,80ticketsareinthebox.Ofthese,18belongtocustomerswhoboughtfruit,26belongtocustomerswhoboughtvegetables,and7belongtocustomerswhoboughtbothfruitandvegetables.Ifoneticketischosenatrandom,whatistheprobabilitythatitbelongstoacustomerwhoboughtfruitorvegetables?$