[dcgirl1986]

1. In poker, an ace-high straight flush consists of the Ace, King, Queen, Jack and 10 of a given suit (i.e. spades, clubs, hearts or diamonds). It is also known as a royal flush and is the highest ranking standard poker hand. What is the probability of randomly selecting five cards that constitute a royal flush from a randomly shuffled standard deck of playing cards consisting of 52 cards? Round your answer to six decimal places.

OK so for this problem since the lowest number in the sequence is 10 I mulitplied that by the suits and there are 4 so I got 40 which I put as P(40) then I divided that by 52C5= # of outcomes and in that total I got 1.53*10^-5 which equals 0.00001539

2. What is the probability of randomly selecting the five cards for a royal flush in hearts in the following specific order A of hearts K of hearts Q of hearts J of hearts 10 of hearts from a randomly shuffled standard deck of playing cards consisting of 52 cards? Round your answer to nine decimal places.

so do I instead of 40 do I take 5 since that is the only cards that I want and no probability of anymore and divide that by the outcome? I'm CONFUSED.. :mad: :confused: :(


For these below I have ABSOLUTELY NO clue where to begin!

3. A company that produces fine crystal knows from experience that 10% of the goblets it produces will have cosmetic flaws and will have to be classified as “seconds”. What is the probability that a randomly selected sample of 20 goblets will contain exactly 5 “seconds”? Round your answer to four decimal places.

4. A company that produces fine crystal knows from experience that 10% of the goblets it produces will have cosmetic flaws and will have to be classified as “seconds”. What is the probability that a randomly selected sample of 20 goblets will contain less than 5 “seconds”? Round your answer to four decimal places.

[Credendovidis]

Hello dcgirl1986

I'll answer your poker questions : follow the links for details how these results are derived.

1 - See this link
A royal flush : one out of 65359,5 or 0.0000153

2 - See this link
A royal flush in hearts : one out of 2598960 or 0.00000038476

:)