Question

Suppose three cards are randomly selected (without
replacement) from a standard deck of 52 cards.

a) What is the probability of getting three aces? Ans:
0.00018

b) What is the probability of getting a pair? (Do not count
three of a kind.)

c) What is the probability that they all have the same
suit?

Answer #1

5 cards are randomly selected from a standard deck of 52
cards to form a poker hand. Determine the probability of being
dealt a straight flush (five cards in sequence in the same suit but
not a royal flush. Note: A royal flush is 10, Jack, Queen, King,
Ace all in the same suit. Note: Aces can be high or
low).

Five cards are drawn without replacement from a standard deck of
52 cards consisting of four suits of thirteen cards each. Calculate
the probability that the five cards result in a flush (all five
cards are of the same suit).

3 )One is dealt 6 cards from a standard poker deck of 52
cards.
a)What is the probability of getting 3 aces and 3 kings?
b)What is the probability of getting the same except both pairs
kings and aces are of the same suit (e.g., the same suit is missing
from both).

If 2 cards are selected from a deck of 52 cards
without replacement, find the probability of both are the same
color

Suppose that two cards are randomly selected from a standard?
52-card deck. (a) What is the probability that the first card is a
club and the second card is a club if the sampling is done without?
replacement? (b) What is the probability that the first card is a
club and the second card is a club if the sampling is done with?
replacement?

Suppose that 5 cards are selected (without replacement) at
random from a regular deck of 52 playing cards:
a. If it is known that at least 2 hearts have been selected,
what is the probability that at least 3 hearts have been
selected?
b. If it is known that the queen of hearts has been selected,
what is the probability that at least 3 hearts have been
selected?

A deck of playing cards has 52 cards. There are four suits
(clubs, spades, hearts, and diamonds). Each suit has 13 cards.
Jacks, Queens, and Kings are called picture cards. Suppose you
select three cards from the deck without replacement.
a. Find the probability of getting a heart only on your second
card. Round answer to three decimal places
b Find the probability of selecting a Jack and a heart . Round
answer to three decimal places.
c. Find the...

Compute the probability of randomly drawing five cards with
replacement from a standard deck and getting exactly two aces.

You are choosing three cards at random from a standard 52-card
deck without replacement. What is the probability that at most one
is a Heart?

Five cards are selected at random without replacement from a
standard
deck of 52 cards. The order of the selection is not
considered.
Let S be the sample space connected to this experiment.
Let R be the event that all of the cards selected are red.
Let W be the event that none of the cards selected are hearts
a) Find n(S)
b) Find P(R)
c) Find P(W)
d) Find P(R|W)
e) Are the events R and W independent? Justify...

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