Two cards are drawn from a standard deck of cards, and one of the two cards is noted and removed. Find the following probabilities of the second card.

P(spade | spade) =

P(red | red) =

2 answers

The probability of both/all events occurring is determined by multiplying the probabilities of the individual events. If the first card is not replaced,

13/52 * 12/51 = ?

26/52 * 25/51 = ?
Mike,
Can you double check if your notation P(spade|spade) means
P(spade followed by a spade), usually written as P(spade,spade)
or does it means conditional probability
P(spade given it is a spade)?