Question

From a deck of 52 cards, what is the probability that you draw a face card (J,Q,K), an Ace or a black card?

2. If you flip a coin 5 times and 4 times you see a head, what is the probability that the next flip is a tail?

3. Using 2 eight-side dice, what is the probability that you roll the most common combined number?

4. What is the probability that you roll 2 consecutive green numbers (i.e., 0,00) on a roulette wheel?

5. If you draw a red card from a deck of 52 cards and toss it out, what is the probability that the next card you draw is black?

Answer #1

1) probability that you draw a face card an Ace or a black card =(12+4+18)/52=34/52=17/26 (as there are 12 face cards ; 4 ace cards and 18 non ace and non face black cards)

2)

probability that the next flip is a tail =1/2 (As events are independent)

3)

probability that you roll the most common combined number=8/64 =1/8 (As most common combined number is 8 which can appear in 8 ways out of total 64 ways)

4)probability that you roll 2 consecutive green numbers =(2/38)*(2/38)=1/361

5)

probability that the next card you draw is black =26/51 (as there remains 26 black card out of 51 cards)

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...

Consider a standard 52-card deck. If you draw 25% cards from the
deck without replacement.
What is the probability that your hand will contain one ace?
What is the probability that your hand will contain no ace?

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?

Suppose you draw two cards from a standard 52-card deck, look at
them, and then put them back and shuffle. If you repeat this 15
times, how many times do you expect to draw two cards of the same
rank (i.e. Ace and Ace, King and King, etc)? Round to the nearest
hundredth.

a) f you randomly select two cards from a deck of playing cards
without replacement, what is the probability that you get an ace
card followed by a face card
b) if you toss a coin 400 times, find the usual range for the
number of tails that you expect to get.
c) Find the probability of selecting at least 1 ace card when
you draw 3 cards without replacement. Answer in reduced
fraction.
d) Given x̅ = 78.5 and...

Seven cards are dealt from a deck of 52 cards.
(a) What is the probability that the ace of spades is one of
the 7 cards?
(b) Suppose one of the 7 cards is chosen at random and found
not to be the ace of spades. What is the probability that none of
the 7 cards is the ace of spades?
(c) Suppose the experiment in part (b) is repeated a total of
10 times (replacing the card looked at...

a
card is drawn from a standard deck of 52 playing cards. find the
probability that the card is an ace or a heart

You draw a card from an ordinary 52 card deck. Let P (B) be the
probability of drawing a black car from the deck. Let P (R) be the
probability of drawing a prime numbered card from the deck.
In a single draw, what is the probability of drawing a black
prime numbered card? Write the probability using proper symbolism
and give the numerical solution.
What is the complement of drawing a black prime numbered card
in a single draw?...

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.

Problem
(1) If we draw one card from a 52 card deck, write down the
probability:
a. That it is red?
b. That it is a diamond?
c. That it is an ace?
d. That it is the ace of diamonds?
(2) Consider a pair of dice which is rolled once. Compute the
probabilities that the sum is equal to each of the integers 2
through 12.

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