One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will (i) be an ace, (ii) not be an ace.

Step 1: Identify Total Outcomes

When a card is drawn from a well-shuffled deck of 52 cards, the total number of possible outcomes is 52. This is because each card has an equal chance of being drawn.

Step 2: Calculate Probability of Drawing an Ace

There are 4 aces in a standard deck of 52 cards (one for each suit). The probability of drawing an ace is the ratio of the number of aces to the total number of cards, which simplifies to $1/13$.

Step 3: Calculate Probability of Not Drawing an Ace

The probability of an event not happening is 1 minus the probability of the event happening. In this case, the probability of not drawing an ace is $1 - P(\text{Ace})$. We subtract the probability of drawing an ace from 1 to get the result.

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