Question

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).

Answer #1

**Answer:-**

**Given
that:-**

No.of ways 5 cards can get selected from same suit,

1 suit gets selecetd from 4 suits

from the 13 cards of the selecetd suits, 1 card is selected and removed.

the second card gets selected from the remaining 12 cards of the same suit , and removed.

And the 3rd 4th 5th cards get selecetd in a simillary from the same suit.

Required probability:

P(5 cards results in a flush)

=P(all 5 cards are of the same suits)

=no.of ways 5 cards can get selecetd from a suit no.of ways 5 cards get selected from 52 cards.

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...

Two cards are drawn without replacement from a standard deck of
52 playing cards. What is the probability of choosing a face card
for the second card drawn, if the first card, drawn without
replacement, was a jack? Express your answer as a fraction or a
decimal number rounded to four decimal places.

A standard deck of cards has 52 members consisting of 4 suits
each with 13 members (2, 3, …, 10, J, Q, K, A). Five cards are
dealt from the randomly mixed deck. What is the probability that
all cards are the same suit?

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?

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 from a standard deck of 52 cards. What is
probability that those five cards contain 4 cards of the same
value

5 cards are drawn from a standard deck without replacement. What
is the probability that at least one of the cards drawn is a spade?
Express your answer as a fraction or a decimal number rounded to
four decimal places.

In an experiment, 20 cards are drawn with replacement from a
standard deck of 52 well shuffled cards. What is the probability
that at least 3 cards drawn are number cards (2 through 10)?

Suppose two cards are drawn in succession (without replacement)
from a standard deck of cards.
What is the probability that a face card is drawn first? (Enter
your probability as a fraction.)
What is the probability that a face card is drawn second, given
that a face card was drawn first? (Enter your probability as a
fraction.)
What is the probability of drawing two cards in succession
(without replacement) from a standard deck and having them both be
face cards?...

One thousand cards are drawn with replacement from a standard
deck of 52 playing cards, and let X be the total number of aces
drawn. Find the approximate probability that 65 ≤ X ≤ 90.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 8 minutes ago

asked 9 minutes ago

asked 25 minutes ago

asked 25 minutes ago

asked 48 minutes ago

asked 50 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago