SOLUTION: Two cards are chosen from a standard deck of 52 cards without replacement. Determine the probability that at least one of the cards is a spade. please show work, thanks

Question 329482: Two cards are chosen from a standard deck of 52 cards without replacement. Determine the probability that at least one of the cards is a spade. please show work, thanks
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Look at 3 possibilities:
First card is a spade, second isn't
Second card is a spade, first isn't
Both cards are spades.
.
.
.
P(spade, not spade)=
P(not spade, spade)=
P(spade,spade)=
P(at least one spade)=P(spade,not spade)+P(not spade,spade)+P{spade,spade)
P(at least one spade)=
RELATED QUESTIONS
Three cards are dealt from a standard deck of fifty-two cards (without replacement); the... (answered by Edwin McCravy,greenestamps)

we are drawing two cards without replacement from a standard 52- card deck. find the... (answered by stanbon)

We are drawing two cards without replacement from a standard 52 card deck. Find the... (answered by ayhseddu)

In a standard deck of 52 playing cards, two cards are known: the 2 of hearts, and the 2... (answered by greenestamps)

We are drawing two cards without replacement from a standard 52-card deck. Find the... (answered by Fombitz)

We are drawing two cards without replacement from a standard 52-card deck. Find... (answered by stanbon)

6 cards are drawn from a standard deck without replacement. What is the probability that (answered by stanbon)

Five cards are drawn from a standard deck without replacement. What is the probability... (answered by greenestamps)

Five cards are drawn without replacement from a standard 52 card deck. Find the... (answered by stanbon)