Can anyone help me solve this problem??

Suppose that X(subscript 1),....,X(subscript n) form a random sample from a unifom distribution on the interval [0,1] and that the random variable Y(subscript n)= max{X(subscript 1),....,X(subscript n)}.

Determine the smallest value of n such that Pr[Y(subscript n)≥.99]≥.95