A random number generator generates a number between 0-1. Assume that each number is equally likely between 0-1 including decimals. What is the probability that the number is between 0 and 0.6

In a charity show tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random (blindly) will have a number with a hundredth digit of 2?

Suppose repetitions are not allowed. Randomly pick up a three-digit number that is formed from the five digits: 1,2,3,4,5. What is the probability that this number exceeds 300?

A class consists of 17 freshmen and 78 sophomores. If a student is randomly selected, what is the probability that the student is a sophomore? Enter your answer in fraction form (a/b) or as a decimal rounded to the nearest hundredths place

A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 4 digits long, and that each digit could be a number between 0 and 9. Assume that the hacker makes random guesses.What is the probability that the hacker guesses the password on his first try? Please report the answer to four decimal places.

The state runs a lottery once every week in which six numbers are randomly selected from 17 without replacement. A player chooses six numbers before the state's sample is selected. The player wins if all 6 numbers match. If a player enters one lottery each week, what is the probability that he will win at least once in the next 200 weeks? Report answer to 3 decimal places.