Moderate# Winning on Scratcher Tickets

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You bought a scratcher ticket and are hoping to win some money. There are four spots you can scratch off and each spot reveals a number and a symbol. The symbol is either a cat, dog, monkey, parrot, or a big bag of money. The number is any number between 1 and 4. There are three ways you can win:

All four spots have a big bag of money as a symbol.

All four spots have the same number.

A cat, dog, monkey, and parrot show up as a symbol and the numbers are all odd or all even.

What is the probability you have a winning ticket?