Question

if you care the P things ive never been able to figure out what each of those mean

Suppose that you have 11 cards. Four are Blue and Seven are Red. The four Blue cards are numbered 1, 2, 3, 4. The seven red cards are numbered 1, 2, 3, 4. 5, 6 ,7. The cards are well shuffled. You randomly draw one card. (Leave probability as fractions)

• B = card drawn is blue

• E = card drawn is even-numbered

a. List the sample space.

b. P(B) =_____

c. P(B|E) =_____

d. P(B AND E) =_____

e. P(B OR E) =_____

f. Are B and E mutually exclusive? Justify your answer
numerically.

g. Are B and E independent? Justify your answer numerically

Given you drawn a blue card on the first draw and you put it back in the deck what is the Probability of drawing a blue cards on the second draw with replacement.

i. Given you drawn a blue card on the first draw and you don’t put it back in the deck what is the Probability of drawing a blue cards on the second draw without replacement.

Answer #1

Assume an ordinary deck of 52 cards that has been
well-shuffled.
1. What is the probability of drawing an eight and then drawing
another eight assuming the first card is put back in the deck
before the second draw?
2. What is the probability of drawing an eight and then drawing
another eight assuming the first card is NOT put back in the deck
before the second draw?
3. What is the probability of drawing at least one card that...

A special deck of cards has 5 green cards , and 3 yellow cards.
The green cards are numbered 1, 2, 3, 4, and 5. The yellow cards
are numbered 1, 2, and 3. The cards are well shuffled and you
randomly draw one card.
G = card drawn is green
E = card drawn is even-numbered
a. How many elements are there in the sample
space? _____
b. P(E) =_____ (Round to 4 decimal places)
2. A special deck of cards...

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) =

Two cards are drawn from a regular deck of 52 cards, without
replacement. What is the probability that the first card is an ace
of clubs and the second is black?
Answer:
A card is drawn from a regular deck of 52 cards and is then put
back in the deck. A second card is drawn. What is the probability
that:
(a) The first card is red.
(b) The second card is hearts given that the first is red.
(c)...

A special deck of cards has 6 red cards, and 5 black cards. The
red cards are numbered 1, 2, 3, 4, 5, and 6. The black cards are
numbered 1, 2, 3, 4 and 5. The cards are well shuffled and you
randomly draw one card.
R = card drawn is red
E = card drawn is even-numbered
a. How many elements are there in the sample space?
b. P(E) = Round your answer to two decimal
places.

You have 10 cards, 4 of which are blue, 3 of which are green, 3
of which are red. What is the probability that you draw:
a) 3 blue cards (draw with replacement)
b) 3 red cards (draw without replacement)
c) A red card, then a blue card, then a red card (without
replacement)
d) A red card or a blue card (on one draw)
e) 4 green cards (drawing without replacement)

If you have a deck of cards, what is the probability of drawing
a spade or a red card with 1 draw
If you have a deck of cards, what is the probability of drawing
a spade or a red card with 2 draws without replacement
If you have a deck of cards, what is the probability of drawing
a royal flush (10,J,Q,K,A of the same suit) (no replacement)

The game of Fizzbin is played with a deck of 30 cards. There are
three colors (red, black, blue), with 10 cards in each color (cards
are numbered from 1 to 10). Enter your answers as reduced
fractions, with / for the fraction bar and no spaces.
a) If a card is drawn at random, what is the probability that
the card is black?
b) If a card is drawn at random, what is the probability that
the card is...

Suppose that you have 9 cards. 4 are red and 5 are purple. The
cards are well shuffled. You randomly draw two cards
without replacement. (card is not returned to the
pile after being drawn.) Justify your answers in the scratch work
file.
Define the following events:
R1 = first card drawn is red
R2 = second card drawn is red
Find the following probabilities: *round answers to two decimal
places*
P(R1 AND R2) = ______
P(At least one red)...

A special deck of cards has 5 green cards , and 3 yellow cards.
The green cards are numbered 1, 2, 3, 4, and 5. The yellow cards
are numbered 1, 2, and 3. The cards are well shuffled and you
randomly draw one card.
G = card drawn is green
E = card drawn is even-numbered
a. How many elements are there in the sample space?
b. P(E) = __________________ (Round to 4 decimal places)

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