A card is selected at random from a standard deck of cards. Find the probability of randomly selecting a king given that an ace has already been selected.
Selecting the Ace leaves 51 cards in the deck.
P (K) = 4/51
To find the probability of randomly selecting a king given that an ace has already been selected, we can use conditional probability.
Step 1: Determine the sample space.
The sample space is the set of all possible outcomes. In this case, after the ace has already been selected, there are 51 cards remaining in the deck.
Step 2: Determine the favorable outcomes.
The favorable outcomes are the outcomes that meet the given condition. In this case, we want to find the probability of selecting a king after an ace has already been selected. There are 4 kings in a standard deck.
Step 3: Calculate the probability.
The probability of an event happening is given by the ratio of the number of favorable outcomes to the number of possible outcomes.
P(King | Ace) = (Number of favorable outcomes) / (Number of possible outcomes)
P(King | Ace) = 4 / 51
Therefore, the probability of randomly selecting a king given that an ace has already been selected is 4/51.