Answer:
Option B. 5/6
Explanation:
we know that
The probability that the point does not land in triangle T is equal to subtract the area of triangle T from the area of rectangle and divided the result by the the area of rectangle
so
Find out the area of rectangle
![A=(6)(4)=24\ unit^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/nly688wwrerb4uu5wwd40wxz891b7xkbau.png)
Find out the area of triangle T
![A=(1)/(2)(2)(4)=4\ unit^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/c5hyrr26bibkl65ibal6poe3vp6v8h6pal.png)
The probability is equal to
![P=(24-4)/(24)=(20)/(24)=(5)/(6)](https://img.qammunity.org/2020/formulas/mathematics/high-school/d65w25x01qm7yvkimb9sklasvsrfy4fdlt.png)