If you draw 100 tiles with replacement, what is the probability that you draw fewer than 35 vowels? Round to 4 decimal places.

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