Question

1.

a.) Suppose you draw 5 cards from a standard deck of 52 cards, one after the other, without replacements. Find the probability that the last card is a club given that the first 4 are clubs.

b.) A drawer contains six bags numbered 1-6, respectively i contains i blue balls and 6 green balls. You roll a fair die and then pick a ball out of a bag with the number shown on the die. What is the probability the ball is blue?

Answer #1

1. Two cards are drawn from a well-shuffled ordinary
deck of 52 cards. Find the probability that they are both aces if
the first card is (a) replaced, (b) not replaced.
2. Find the probability of a 4 turning up at least once in two
tosses of a fair die.
3. One bag contains 4 white balls and 2 black balls; another
contains 3 white balls and 5 black balls. If one ball is drawn from
each bag, find the...

A standard deck of cards contains 52 cards. One card is selected
from the deck.
(a)
Compute the probability of randomly selecting a ten or
queen.
b)
Compute the probability of randomly selecting a ten or queen or
five.
(c)
Compute the probability of randomly selecting a six or
club.

A standard deck of cards contains 52 cards. One card is selected
from the deck. (a) Compute the probability of randomly selecting a
a heart heart or club club. (b) Compute the probability of
randomly selecting a a heart heart or club club or diamond diamond.
(c) Compute the probability of randomly selecting an an ace ace or
heart heart.

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)...

A
deck of cards contains red cards numbered 1 to 3 blue cards
numbered 1234 and green cards numbered 12 if a single card is
picked up random what is the probability that the card is blue or
has an odd number

I choose a card at random from a well-shuffled deck of 52 cards.
There is a 1/4 probability that the card is chosen is a spade, a
1/4 probability that the card is a heart, a 1/4 probability that
the card is a diamond, and a 1/4 probability that the card is a
club. Both spades and clubs are black cards, whereas hearts and
diamonds are red. What are the events of the card is a heart and a
card...

Explain and show work thanks.
2. A standard deck of cards contains 52 cards. One card is
randomly selected from the deck.
Find:
A. probability of randomly selecting heart or club.
B. probability of randomly selecting a two, three or
four.
C. probability of randomly selecting a two or club.

2. A card is chosen from a deck of cards. If it is a 9 or a 10,
you choose a ball from box 1. Otherwise you choose a
ball from box 2. Box 1 contains 4 blue balls and 9 white balls. Box
2 contains 4 white balls and 7 blue balls. What is the probability
that you end up with a blue ball? (3)

1.Suppose that you randomly draw one card from a standard deck
of 52 cards. After writing down which card was drawn, you replace
the card, and draw another card. You repeat this process until you
have drawn 18 cards in all. What is the probability of drawing at
least 5 diamonds?
2.For the experiment above, let ? X denote the number of
diamonds that are drawn. For this random variable, find its
expected value and standard deviation. ?(?)= σ =

A standard deck of cards contains 52 cards. One card is selected
from the deck. (a) Compute the probability of randomly selecting a
queen or two. (b) Compute the probability of randomly selecting a
queen or two or king. (c) Compute the probability of randomly
selecting a seven or diamond.

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