Im not very good at math and would really appreciate some help here from big brain ppl.

Imagine a game where the goal is to get a full set of numbers between 1 to 16.
(1, 2, 3, 4....16)

Each week you get a choice to pick 1 random number between 1 to 16 out of 3 options.

These 3 options are completely random and can be duplicated, so for instance you can on one week get the option to pick between the numbers 1, 1, 1

What are the odds you have gotten all 16 different numbers after 16 weeks?

How many weeks until you have a 50% chance of having all 16 numbers?

How many weeks until you have a 95% chance of having all 16 numbers?

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