SOLUTION: If three cards are dealt from a deck of 52, what is the probability that the first card is a heart and the next two are both diamonds?

SOLUTION: If three cards are dealt from a deck of 52, what is the probability that the first card is a heart and the next two are both diamonds?

Algebra.Com

Question 306579: If three cards are dealt from a deck of 52, what is the probability that the first card is a heart and the next two are both diamonds?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
P(heart)=13/52=1/4
P(diamond after heart)=13/51
P(diamond after D and H)=12/50=6/25
P(H,D,D)=(1/4)(13/51)(6/25)=39/2550
RELATED QUESTIONS
The first three cards dealt from a well-shuffled deck of cards are spades. What is the... (answered by Fombitz)

Three cards are dealt at random from a standard deck of 52 cards. What is the probability (answered by Boreal)

Three cards are drawn without replacement from an ordinary deck of 52 playing cards. What (answered by stanbon,richard1234,filboi)

You are dealt two cards successively without replacement from a standard deck of 52... (answered by jim_thompson5910,bucky)

You are dealt two cards successively without replacement from a standard deck of 52... (answered by stanbon)

Three cards are dealt from a well shuffled deck. What is the probability that the first... (answered by ewatrrr)

If you are dealt two cards successively (with replacement of the first) from a standard... (answered by ewatrrr)

b. You are dealt 2 cards from a shuffled deck of 52 cards, without replacement. What is... (answered by Alan3354)

If you are dealt a 5 card hand from a standard deck of 52 playing cards, what is the... (answered by ewatrrr)