A BETTER CHANCE OF WINNING Each of the problems below describes two different games you can play with a random number generator. In each case, you will win if the random number generator gives you the indicated kind of number. Find the theoretical probability that you win each game below. Decide and justify whether Game 1 or Game 2 in each part, (a) through (c), gives you a better chance of winning.
Game 1
a. Picking a prime number from the integers between 1 and 20
b. Picking a multiple of 5 from the integers between 1 and 20
c. Picking a multiple of 7 from the integers between 1 and 40
Game 2
a. Picking a prime number from the integers between 21 and 40
b. Picking a multiple of 5 from the integers between 1 and 40
c. Picking a multiple of 6 from the integers between 1 and 25