Question
In: Statistics and Probability
T cards are drawn from a deck of cards, with replacement. Assuming there are no Jokers...
T cards are drawn from a deck of cards, with replacement. Assuming there are no Jokers (i.e. a deck of 52 cards) and rounding your answers to three decimal places, calculate the probability that:
a. the Hth card is a heart and the (H+F)th card is an ace. Ans.___________
b. the (L)th card is a King and the (2*H)th card is a King. Ans.___________
c. the (F+L)th card is a red and the (T-H)th card is red. Ans.___________
d. the (H+F)th card is odd and the (H+2*F)th card is even. Ans.___________
H = 6
T = 27
F = 3
L = 7
S = 47
Please do it correctly and need to show steps
Solutions
orchestra answered 1 year agoRelated Solutions
Suppose three cards are drawn without replacement from a standard deck of cards. A standard deck...
Suppose three cards are drawn without replacement from a
standard deck of cards. A standard deck of cards contains 52 cards,
each card is one of 4 types (hearts, diamonds, spades, clubs) and
cards within each type are labelled 2, 3, 4, …, 10, J, Q, K, A.
Compute the probability for each of the following.
a. All three cards selected is a Heart.
b. All three cards selected is a King.
c. None of the three cards is either...
Three cards are drawn from a deck of 52 cards without replacement. (a) What is the...
Three cards are drawn from a deck of 52 cards without
replacement.
(a) What is the probability that the third card is a spade (♠)
given that the first card is a spade?
(b) What is the probability that all cards are spades given that
at least one of them is a spade?
(c) Let Y be the number of black cards drawn. What is the
probability that all 3 cards are black given that the first card is
a...
Three cards are drawn from a deck of 52 cards without replacement. (a) What is the...
Three cards are drawn from a deck of 52 cards without
replacement.
(a) What is the probability that the third card is a spade (♠)
given that the first card is a spade?
(b) What is the probability that all cards are spades given that
at least one of them is a spade?
(c) Let Y be the number of black cards drawn. What is the
probability that all 3 cards are black given that the first card is
a...
three cards are drawn at random without replacement from a standard deck of 52 playing cards....
three cards are drawn at random without replacement from a
standard deck of 52 playing cards. Find the probability that the
second and third cards are black? I seen the question online and
answer is 850/1734 but i think it is wrong
Assume that 2 cards are drawn in succession and without replacement from a standard deck of...
Assume that 2 cards are drawn in succession and without
replacement from a standard deck of 52 cards. Find the probability
that the following occurs. (Enter your probability as a fraction.)
The second card is a 2, given that the first card was a 2.
Three cards are randomly drawn, without replacement, from an ordinary deck of 52 cards. Find each...
Three cards are randomly drawn, without replacement, from an
ordinary deck of 52 cards. Find each of the following.
a. The probability of drawing, in order, one 10, one spade and
one black jack.
b. The probability that in any order, one queen, one spade and
one black ace are drawn.
c. The probability of drawing exactly three kings.
d. The probability of drawing exactly one ace.
Three cards are drawn from a deck without replacement. Find the probability the first card is...
Three cards are drawn from a deck without replacement. Find the
probability the first card is a club, the second card is a diamond
and the third card is red card.
Cards are drawn one at a time without replacement from a deck of 52 ordinary playing...
Cards are drawn one at a time without replacement from a deck of
52 ordinary playing cards.
(a) what is the probability that the 30th and the 40th cards are
Kings?
(b) Given that the 30th card is a King, what is the conditional
probability that the 40th card is also a King?
Four cards are drawn from an ordinary deck without replacement. Find the probability of getting at...
Four cards are drawn from an ordinary deck without replacement.
Find the probability of getting at least one face card.
5. A hand of five cards is drawn without replacement from a standard deck. (a) Compute...
5. A hand of five cards is drawn without replacement from a
standard deck.
(a) Compute the probability that the hand contains both the king
of hearts and the king of spades.
(b) Let X = the number of kings in the hand. Compute the
expected value E(X). Hint: consider certain random variables X1, .
. . , X4.
(c) Let Y = the number of “face” cards in the hand. Given is
that E(Y ) = 15/13. Find the...
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