What is the probability each player has a winning?

You have a 1 in 50 chance (ie A)
Explanation:
Let's start with the first bag. In it sits 5 numbers. So, you have a 1 in 5 chance that the number picked will be yours.

Now, let's consider the second bag. You have 10 different numbers and only one of yours may be picked. Hence, you have a 1 in 10 chance that yours will get picked.

Since we want them simultaneously, we will need to multiply the two probabilities together, yielding a 1 in 50 chance.

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