The game where players are allowed to pick their own numbers is the game of Mega-Millions.
This is a type of lottery game that is available in several countries around the world and involves players picking certain numbers to stand a chance to win some money.
The players get to choose the numbers they believe will be lucky and then there is a draw. If their numbers are selected, they stand a chance to win.
Options for this question were:
a. Quick Pick game.
b. Mega Millions.
c. Instant Scratch-Off game.
Find out more on Mega-Millions at https://brainly.com/question/26836245.