Question

A card is randomly selected from a standard, 52-card deck. The denomination on the card is recorded so that the resulting sample space is {A, 2, 3, 4, 5, 6, 7, 8, 9, 10, K, Q, J}. (In other words, we ignore the suits.) (a) (5 points) Given that the card selected displays some number from 3 to 10 (inclusive), what is the probability that the value on the card is not a multiple of 4? (b) (5 points) Suppose a second card is drawn from the deck without replacing the first. Let E be the event of drawing a king second and Page 2 let F be the event of drawing a queen first. The events E and F are: A. mutually exclusive B. independent C. both mutually exclusive and independent D. neither mutually exclusive nor independent

Answer #1

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...

For the experiment of drawing a single card from a standard
52-card deck, find (a) the probability of the following event,
and (b) the odds in favor of the following event.
Neither a heart nor a king or queen
(b) The odds, in simplified form, in favor of the event of the
card being neither a heart nor a king or queen are ----- to
-------

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?

A card is drawn at random from a standard deck of cards . Let A
be the event "card is a spade" and let B be the event "card is a
king". a) Are A & B mutually exclusive ? b)Are A & B
independent ?

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

A card is randomly drawn from a standard deck of 52 playing
cards. If event A is drawing a queen, and event
B is drawing a spade, find the following
probabilities. Express answers as a decimal to the nearest
thousandths.
(a) P(A and B)
(b) P(A or B)
(c) If a spade has been drawn from the deck, what is the
probability of drawing another spade?

1. If two cards are drawn at random in succession from a
standard 52-card deck without replacement and the second card is a
club card, what is the probability that the first card is king
card?
2. Let A and B be two events in a sample S. Under what
condition(s) is P(A l B) equal to P(B l A) ?
3. If two events A and B are mutually Exclusive. Can A and B be
Independent? Why or why...

he following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

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