Evaluate [3.2]. It is a floor and ceiling function. Thanks.

can't be both.

For floor, round down to next integer
for ceiling, round up to next integer

What is the probability of selecting a purple marble and then a white marble?

What is the probability of selecting two white marbles?
Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.

What is the probability of selecting a purple marble and then a white marble?
What is the probability of selecting two white marbles?
Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.

What is the probability of selecting a purple marble and then a white marble?
What is the probability of selecting two white marbles?
Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.

What is the probability of selecting a purple marble and then a white marble?
What is the probability of selecting two white marbles?
Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.

To evaluate the floor and ceiling function for a given number, you can use the following steps:

1. Floor function (⌊x⌋): The floor function returns the largest integer less than or equal to a given number.
- For example, ⌊3.2⌋ = 3.

2. Ceiling function (⌈x⌉): The ceiling function returns the smallest integer greater than or equal to a given number.
- For example, ⌈3.2⌉ = 4.

So, evaluating [3.2] as floor and ceiling functions:

⌊3.2⌋ = 3
⌈3.2⌉ = 4

Therefore, the floor of 3.2 is 3 and the ceiling of 3.2 is 4.