If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a Jack or 2? (Your answer must be in the form of a reduced fraction.)

8 of the 52 cards are jacks or twos.

So, ...

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To find the probability of selecting a Jack or 2 from a well-shuffled standard deck of 52 cards, we need to determine the number of favorable outcomes and the total number of possible outcomes.

There are four Jacks and four 2s in a standard deck, so there are 8 favorable outcomes. The total number of cards in the deck is 52.

Therefore, the probability can be calculated as:

Probability = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes)
= 8 / 52

To reduce this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4:

Probability = (8 / 4) / (52 / 4)
= 2 / 13

So, the probability of randomly selecting a Jack or 2 from a well-shuffled standard deck of 52 cards is 2/13.