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hypergeometric distribution: f(k;N,n,m) = f(5;52,13,5)

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Q: Find the probability of being dealt 5 diamonds from a standard deck of playing cards?
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What is the probability of being dealt 3 cards and all of them being diamonds?

There are 13 diamonds. Three cards are dealt. The probability of all of them being diamond is (13/52)(12/51)(11/50) = 1716/132600 = 11/850


What is the probability of being dealt 4 diamonds in a row from a deck of cards?

5


John and Martha are playing cards with a standard deck of 52 cards with 4 suits What is the probability of the first card drawn being a heart?

If the card is drawn randomly, the probability is 1/4.


What is the probability of a card being drawn at random that is a 12?

As there are no 12 cards in a standard pack the probability is zero.


What is the probability of being dealt a club out of a standard deck of cards?

There are 13 clubs in a standard deck of 52 cards. The probability, then, of drawing club is 13 in 52, or 1 in 4, or 0.25.


What is the probability of Pulling out of dealing with standard deck of 52 cards out one card and it being between a8 and king?

The probability of the card being BETWEEN 8 and K is 4/13.


What is the probability of beind dealt five aces from a standard 52 card deck?

Since there are only four aces in a standard 52 card deck, the probability of being dealt five aces is zero.


You are dealt one card from a standard 52-card deck Find the probability of being dealt the two of hearts?

If the pack is well shuffled, the probability is 1/52.


You are dealt one card from a standard 52 card deck Find the probability of being dealt a club and a spade?

The probability is 0. One card cannot be a club and a spade!


What is the probability of a 5 not being rolled on a dice?

Probability is desired options over total options. There are 6 faces on a standard dice, so NOT rolling a 5 is 5/6.


What is the probability of being dealt 4 aces from a standard 52 card deck?

The probability, if the cards are dealt often enough, is 1.On a single deal, the prob is 3.69379*10^-6


Two cards are dealt from a standard 52 card deck What is the probability that both cards are from the suit of diamonds?

There is one chance in four of the first card being a diamond (since there are four suits). There is one chance in four of the second card being a diamond. The chances of both being a diamond is 1/4*1/4 = 1/16, or thus one chance in 16