Question

if you pick 36 cards with replacement (pick one card, put it back, pick again) out of a standard deck of card calculate the following probabilities:

a. You get exactly 10 cards of spades.

b. You get less than 10 cards of spades.

Answer #1

Determine the poker odds of drawing the following hand from a
standard card deck. (4 suits, 13 ranks in each suit.) What are the
odds of drawing a royal flush (AKQJ10 all of the same suit)?
Drawing cards is WITHOUT replacement. (NOTE: If necessary, lay out
52 cards on a table and do a dry run before computing the
probabilities!) In order to get a royal flush in spades, you must
pick the following 5 cards:
What is the probability...

In
a standard 52 card deck of playing cards, each card has one of four
suits: spades, heart, club, or diamond. There are 13 cards of each
suit. Alison thoroughly shuffles a standard deck, draws a card,
then returns it to the deck, and shuffles again. She repeats this
process until she has drawn 9 cards. Find the probability that she
draws at most 3 spade cards, Use Excel to find the
probability.

Consider the following
experiment. Four cards are drawn out of a deck with
replacement from a well-shuffled deck of cards. The card
that is drawn out is either a heart or it is not a
heart. After a card is drawn out and recorded it is put
back into the deck and the deck is
reshuffled. Construct the binomial probability
function for x = 0, 1, 2, 3, 4
P(0) =
P(1) =
P(2) =
P(3) =
P(4) =

Probabilities with a deck of cards. There are 52 cards in a
standard deck of cards. There are 4 suits (Clubs, Hearts, Diamonds,
and Spades) and there are 13 cards in each suit. Clubs/Spades are
black, Hearts/Diamonds are red. There are 12 face cards. Face cards
are those with a Jack (J), King (K), or Queen (Q) on them. For this
question, we will consider the Ace (A) card to be a number card
(i.e., number 1). Then for each...

4. You pick cards one at a time without replacement from an
ordinary deck of 52 playing cards. What is the minimum number of
cards you must pick in order to guarantee that you get
a) a pair of any kind,
b) a pair of Kings, and
c) all four Kings.
5. Use the binomial theorem to expand (x + 3y)4 . You must
illustrate use of the binomial theorem

Given a standard 52 card deck with 13 cards of each suit, the
probability you draw (without replacement) the Ace of Spades and
then the Queen of Hearts is aproximately?

Amar keeps picking playing cards out of a standard deck of 52
cards in hopes that he will draw a spade. There are 13 spades in
the deck. After looking at each card, he places it back in the
deck. What is the probability that Amar will draw a spade in the
first five attempts?
A) 24%
B) 45%
C) 76%
D) 81%

You randomly shuffle a 52-card deck of cards. We will consider
what happens as we draw 3 cards from the deck to form a sequence of
cards (for a - c) or a set of cards (d).
Answer each of the following questions, showing all relevant
calculations. You should analyze these using tree diagrams, but no
need to show the diagrams in your answer.
(a) Suppose you draw three cards from the deck with replacement;
what is the probability that...

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?

1.
a.) Suppose you draw 8 cards from a standard deck of 52 cards,
one after the other, without replacement. Find the probability that
the last card is a club given that the first 7 cards are clubs.
b.) An urn contains 6 green, 10 blue, and 17 red balls. You take
3 balls out of the urn, one after the other, without replacement.
Find the probability that the third ball is green given that the
first two balls were...

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