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## What are the odds?

On her visit to Monte Carlo, Catherine discovers a new casino game involving two dice. One die is black and has the letters A to F written on the six sides. The other is a regular white die numbered from 1 to 6.

Each of the letters on the black die represents a number. They are as follows:

The letter "A" was equal to 500.

The letter "B" was equal to 1000.

The letter "C" was equal to 1500.

The letter "D" was equal to 2000.

The letter "E" was equal to 2500.

The letter "F" was equal to 3000.The game involves multiplying the number on the white die with the numeric value of the black die. For example, rolling an "A" and a "2" would result in a score of 2000, since "A" is worth 1000 and is multiplied by 2.

If Catherine can get a score of 3000 with a single roll, she will win a handsome amount of money. What are the odds that she will win?

See the solutions