Question

Determine the number of different ways to draw three cards of the same rank when drawing three cards from a 24-card deck (assume that there are 4 cards in each rank)

Answer #1

solution:

total number of cards = 24

it is given that there are 4 cards in each rank

so number of ranks = 24/4 = 6

and number of cards in each rank = 4

we have to find the ways of drawing the three cards of the same rank

so number of ways selecting 3 cards of same rank from one rank type(4 cards of a rank)=

but there are 6 ranks available in the deck so multiply it by 6 to get the total required ways

total number of ways of drawing 3 cards of same rank from the
deck = 4*6 = **24 ways**

a) Describe an experiments of the drawing of three cards from a
deck of cards from which the jacks, queens and kings have been
removed. (Note: these are 52 cards in a deck--13 cards are hearts,
13 cards are diamonds., 13 cards are clubs, and 13 cards are
spades. A card with an ace counts as 1. Nine cards of each suit are
marked 2 through 10. Ignore the jacks, queens, and kings, leaving
40 cards from which to draw.)...

If you have a deck of cards, what is the probability of drawing
a spade or a red card with 1 draw
If you have a deck of cards, what is the probability of drawing
a spade or a red card with 2 draws without replacement
If you have a deck of cards, what is the probability of drawing
a royal flush (10,J,Q,K,A of the same suit) (no replacement)

Draw three cards from a standard 52 cards deck without
replacement. What is the probability of having an Ace in those
three cards- given you got all three different rank
cards.

Assume that there are 52 cards in a poker deck (no jokers).
Danny is randomly drawing 5 cards from the deck with replacement.
How many ways are there to draw 5 cards with only one of them being
red?

what is the probability of getting three cards in one rank and
four card in another rank in a selection of seven cards from a
standard deck of 52 cards if all combinations of 7 cards from 52
are equally likely?

I draw a card from the same, previous deck of cards. This deck
as 4 Kings, 4 Queens, and 4 Jacks.
After I draw my first card, a Queen, I place the card back
into the deck. I then draw a second card.
True or False: In this scenario, the first draw and the second
draw are conditional probabilities.

1) What is the probability of drawing three aces in a row from a
standard deck of cards when the drawn card is returned to the deck
each time? 2)Is the event of drawing either a 10 or a heart from a
regular deck of cards and overlapping or non-overlapping?
2) Is the event of drawing either a 10 or a heart from a regular
deck of cards and overlapping or non-overlapping?

How would I solve the following questions from this:
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the drawn card is returned to the deck.
b) drawing three aces in a row from a standard deck of cards with
no card replacement.
c) rolling 4 fair dice and getting an odd number on all 4
dice
d) being dealt five black cards off the top of a regular deck...

5. In poker, a “flush” is a five-card hand where all five cards
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A flush beats a three of a kind, but is beaten by four of a kind.
Demonstrate that this ranking of hands corresponds to how unlikely
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You shuffle a standard deck of 52 playing cards and draw two
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in the two selected cards. Write the probability distribution of X.
Recall that there are 13 diamonds in a deck of 52 cards, and that
drawing the first and second card are dependent.

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