1) A jar contains 12 caramels, 7 mints, and 16 dark chocolates. What is the probability of selecting a mint, replacing it, and selecting another mint? Write your answer as a fraction in simplest form.

Answer 1

There are 35 total candy pieces in the jar (12+7+16)

The chances of selecting a mint the first time is ⁷/₃₅

If you put it back in the jar, then the chances of selecting a mint the second time is also ⁷/₃₅

So the probability of selecting a mint the first time AND the second time is ⁷/₃₅ * ⁷/₃₅ = ¹/₅ * ¹/₅ = ¹/₂₅