A combination lock uses three distinctive numbers between 0


Part I-

There are 1000 students in a high school. Among the 1000 students, 800 students have a laptop, and 300 students have a tablet. 150 students have both devices.

What is the probability that a randomly selected student has neither device?

What is the probability that a randomly selected student has a laptop, given that he/she has a tablet?

Let event A be the selected student having a laptop, and event B be the selected student having a tablet. Are A and B independent events? Why or why not?

Part II-

A combination lock uses three distinctive numbers between 0 and 49 inclusive. How many different ways can a sequence of three numbers be selected?

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Mathematics: A combination lock uses three distinctive numbers between 0
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