Question

A card is to be randomly selected from an ordinary deck of 52 cards. Consider the following events: A = ace, B = face card and C = club

a. which pairs of events, if any, are mutually exclusive?

b. find (i) P(A or B) (ii) P(A or C) (iii) P(B or C)

Answer #1

Two cards are chosen at random from a standard 52-card deck.
Consider the events: A = first card is the ace of spades B = second
card is the ace of spades. Suppose the two cards are selected with
replacement.
i. Are the events A and B independent? Why?
ii. Are the events A and B mutually exclusive? Why?
Now suppose the two cards are selected without replacement.
iii. Are the events A and B mutually exclusive? Why?
iv. Are...

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.

Consider an experiment with a standard 52-deck from which one
card is randomly selected and not replaced. Then a second card is
randomly selected. Define the following events: Event A = The first
card is a heart
Event B = The second card is a heart
a. Are these two events mutually exclusive? Why or Why not?
b. Are these two events independent? Why or why not?

Consider an experiment with a standard 52-deck from which one
card is randomly selected and not replaced. Then a second card is
randomly selected. Define the following events:
Event A = The first card is a heart
Event B = The second card is a heart
a. Are these two events mutually exclusive? Why or Why not?
b. Are these two events independent? Why or why not?

Consider a standard 52-card deck from which one card is
randomly selected and not replaced. Then, a second card is randomly
selected. Define the two events as given. Complete parts a) and b)
below.
A = The first card is a club
B = The second card is a king
Are these two events mutually exclusive? Why or why not?
A.The events are not mutually exclusive. The event of selecting
a club card as the first card cannot occur at...

One card is selected at random from an ordinary deck of 52
playing cards. Events A, B, and C are defined below. Find the
probabilities for parts (a) through (h) below and express your
results in words. Compute the conditional probabilities directly:
do not use conditional probability rule. Note that the ace has the
highest value.
A = event a face card is selected
B = event a jack is selected
C = event a spade is selected
a. Find...

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

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.

Suppose that two cards are randomly selected from a standard?
52-card deck. (a) What is the probability that the first card is a
club and the second card is a club if the sampling is done without?
replacement? (b) What is the probability that the first card is a
club and the second card is a club if the sampling is done with?
replacement?

Consider the experiment of selecting a playing card from a deck
of playing cards. Each card corresponds to a sample point with a
probability.
a. How many sample points are there in the event that a king is
selected?
b. How many sample points are there in the event that a spade is
selected?
c. How many sample points are there in the event that a face
card ( jack, queen, or king) is selected?
d. Find the probabilities associated...

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