If you draw 10 tiles with replacement, what is the probability that you draw exactly 3 vowels? Round to 3 decimal places.

Involve drawing a Scrabble tile from a bag. These tiles are labeled with a letter and a point value, as follows: \(A(1), C(3), D(2), E(1), E(1), J(8), K(5), O(1), R(1), R(1)\).