A game involves selecting a card from a regular 52-card deck and
tossing a coin. The coin is a fair coin and is equally likely to
land on heads or tails.
•
If the card is a face card, and the coin lands on Heads, you
win $9
•
If the card is a face card, and the coin lands on Tails, you
win $3
•
If the card is not a face card, you lose $3, no matter what...
1. In selecting a card form a regular deck of cards, the event
of "drawing a queen" and the event of "drawing a king" are mutually
exclusive.
True
False
2. Suppose we toss a coin a large number of times and we use the
observed number of tails to help compute the probability of a tail
occurring when this coin is tossed. This approach to probability is
known as the ___________ concept of probability.
A.
Classical
B.
Relative Frequency
C....
When selecting a card from an ordinary deck of cards, what is
the probability of getting a King?
When selecting a card from an ordinary deck of cards, what is
the probability of getting a black card or a red card?
When selecting a card from an ordinary deck of cards, what is
the probability of getting a 7 AND a heart?
When selecting a card from an ordinary deck of cards, what is
the probability of getting a 7...
A card is selected from a regular deck of
cards. Count the number of outcomes with: a)
a king or a queen, b) red and ace, c) spade and heart, and d) odd
or less than five.
An experiment is picking a card from a fair deck. a.) What is
the probability of picking a Jack given that the card is a face
card? b.) What is the probability of picking a heart given that the
card is a three? c.) What is the probability of picking a red card
given that the card is an ace? d.) Are the events Jack and face
card independent events? Why or why not? e.) Are the events red
card...
Consider a regular deck of 52 playing cards.
(a) Suppose you draw one card randomly from the deck. What is
the probability that that card is an ace or a king?
(b) Suppose you draw two cards randomly from the deck. What is
the probability that both cards are red?
(c) Suppose you draw four cards randomly from the deck. What is
the probability that exactly two cards are aces?
(d) Suppose you draw three cards randomly from the deck....
If you have a 52 card deck:
A) What is the probability of selecting 2 kings from
the deck?
B) What is the probability of selecting 3
queens?
C) What is the probability of selecting a king, and then an ace,
and then a ten?
Thank you.
4. The experiment is to draw a card from a standard deck of
cards. Consider the following events: Q = drawing a Queen R =
drawing a red card
a. Are Q and R mutually exclusive? Clearly explain.
b. Find P(Q) and P(Q|R).
c. Are the events Q and R independent? Clearly explain.
a. Consider a regular 52-card deck. If you pick a card randomly and
then replace it 5 times, what is the probability of getting an Ace
exactly two times?
b. Consider flipping a fair coin 10 times. Let X(t) be the
number of heads when the outcome is t. What is P(X = 0 or X =
7)?
c.Consider a coin that is weighted so that that flipping it
results in heads 3 times as often as tails. If you...