We deal from a well shuffled 52-card deck. How many different ways can you deal 13...
We deal from a well shuffled 52-card deck. How many different ways can you deal 13 cards so that there are no king cards among the first 12?
Homework Answers
The probability that the first card is not a king is 48/52.
Given that, the probability that the second is not a king is 47/51.
We continue similarly until the 12th card. The probability that the
12th card is not a king, given that none of the preceding 11 was a
king, is 37/41. (There are 52 − 11 = 41 cards left, and 48 − 11 =
37 of them are not kings.) Finally, the conditional probability
that the 13th card is a king is 4/40. The desired probability
is
(48·47···37·4 )/ (52 · 51 · · · 41 · 40) = 0.0337575
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We deal from a well shuffled 52-card deck. How many different
ways can you deal 13...
Problem 52: We deal from a well shuffled 52-card deck. How many different ways can you...
Problem 52: We deal from a well shuffled 52-card deck. How many different ways can you deal 13 cards so that there are no king cards among the first 12?
Problem 4. (8 points) We deal from a well-shuffled 52-card deck. What is the probability that...
Problem 4. (8 points) We deal from a well-shuffled 52-card deck. What is the probability that the 13th card is the first king to be dealt? Use the Multiplication Rule to solve the problem.
In how many ways can a standard deck of 52 cards be shuffled so that the...
In how many ways can a standard deck of 52 cards be shuffled so that the first 13 cards are all spades (there are only 13 spades in the deck)?
A card player is dealt a 13 card hand from a well-shuffled, standard deck of 52...
A card player is dealt a 13 card hand from a well-shuffled, standard deck of 52 cards. What is the probability that the hand is void in at least one suit (“void in a suit” means having no cards of that suit)?
I draw a single card from a well-shuffled deck of 52 cards. If the card is...
I draw a single card from a well-shuffled deck of 52 cards. If the card is an Ace, I stop and if not, I shuffle the card back into the deck and try again. I keep going until I draw an Ace. What's the probability that the Ace first shows up on the 13th drawing? (Recall, a deck has 4 Aces.)
A card is drawn at random from a well-shuffled deck of 52 cards. what is the...
A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability that the card drawn is: a) a Diamond? b) an ace o4 a red card? c) a spade or a face card?
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How many different 5 card hands can be dealt from a deck of 52 cards? Answer: possible hands How many different 5 card hands can be dealt from a deck of 52 cards if all five of these cards are clubs? Answer: possible hands How many different 5 card hands can be dealt from a deck of 52 cards if the hand consists of exactly 2 aces? Answer: possible hands How many different 5 card hands can be dealt from...
A card is drawn from a well shuffled deck of 52 cards. Find the probability of drawing a face...
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you are dealt 2 cards successively (without replacement) from a shuffled deck of 52 playing cards
you are dealt 2 cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.
Problem 52: We deal from a well shuffled 52-card deck. How many different ways can you deal 13 cards so that there are no king cards among the first 12?
Problem 4. (8 points) We deal from a well-shuffled 52-card deck. What is the probability that the 13th card is the first king to be dealt? Use the Multiplication Rule to solve the problem.
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