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A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace?
The odds of any card pulled from an ordinary deck of 52 cards being an Ace is 4 in 52 (4 aces in a deck of 52). This can be reduced to a 1 in 13 chance of any random card pulled from the deck being an Ace (or any other specific value, for that matter). That 13th last card dealt in a hand is no different than picking a random card out of the pack, regardless of what cards you deal before (face down or blindfolded or even face up, it doesn't matter). A more interesting question would be "what would the probability be of ANY of those 13 cards being an Ace?" Any takers?
What is the probability that a hand of 13 cards contains no pairs?
Well the short answer is that your chances are pretty slim. The long answer: The total number of 13-card hands is 52-choose-13, which equals 52! / (13! * 39!). Any hand without any pairs must have exactly one of each value from 2 to ace. All there is to choose is the suit of each card, for 413 possible pairless 13-card hands. The probability of choosing one of these hands is the quotient of these two numbers, or 413 * 13! * 39! / 52!, which equals 4194304/39688347475, approximately 0.00010568 or 1 in 9462. Another explanation: Say the first card in your hand is an ace. For the second card, you have to avoid the other three aces in the deck. There are 51 cards, and 48 of them are OK, so the probability that the second card doesn't pair the first card is 48/51. Suppose your second card was a king. For the third card, you now have to avoid all remaining aces and kings. There are 50 cards left in the deck and you have to dodge six of them. So the probability that the third card doesn't pair either of the first two cards is 44/50. Each time you pick a card, there are three more cards you have to avoid, and one fewer card in the deck. So for the 4th card, you have to avoid 9 cards out of 49, giving a probability of 40/49. This continues until the 13th card, when the probability is 4/40. All these things have to happen one after the other, so you have to multiply the probabilities together: 48/51 x 44/50 x 40/49 x 36/48 x 32/47 x 28/46 x 24/45 x 20/44 x 16/43 x 12/42 x 8/41 x 4/40. This gives the same probability as above (about 1 in 9462).
Deepthy was both the 13th highest and 13th lowest in a maths test How many people took the test?
Twenty five.
Deepthy was both the 13th highest and 13th lowest in a maths test. How many people took the test 13 25 26 27 28?
25 people took the test ! He was equally placed from the top AND the bottom of the league table.
What is the 13th letter?
The correct spelling is 'thirteen'.
How do you say Friday the 13th in French?
Vendredi 13 is the French spelling for Friday the 13th. 13 is 'treize' in French.
What is the name of fear of Friday the 13th?
Trisquidecaphobia...though I'm severely unsure of the spelling
What is highest ranking Scotland football team achieved?
13th (October 2007).
What was the lowest temperature ever recorded in Florida?
It was -2'F on the 13th February 1899 in Tallahassee
What is the temperature rang in earth?
There is roughly a 147 °C range on Earth, or 265 °F.The lowest recorded temperature on Earth is −89.2 °C (−128.6 °F), 21st July, 1983 at the Vostok Antarctic station.the highest recorded temperature on Earth is 57.8 °C (136 °Fahrenheit), 13th August 1922 in Libya.
How many blocks down are diamonds found averagely in minecraft pocket edition?
From the lowest point of bedrock to the 13th block
What good things have happened on Friday the 13th?
I am Italain, and in Italy, 13 is a good number. I belived this one firday 13th that i had a test on, and it turns out, i got the highest mark in the whole grade!!!
What movie and television projects has Marie Bergman been in?
Marie Bergman has: Played Herself - Swedish Entry: 6th Place in "The Eurovision Song Contest" in 1971. Played Herself (member of Family Four) in "Melodifestivalen 1971" in 1971. Played herself in "Melodifestivalen 1972" in 1972. Played Herself - Swedish Entry: 13th Place in "The Eurovision Song Contest" in 1972. Played Herself - Swedish Entry: 13th Place in "The Eurovision Song Contest" in 1994. Played herself in "Melodifestivalen 1994" in 1994.
What will the date be 13 weeks from July 14?
The 13th of October.The 13th of October.The 13th of October.The 13th of October.The 13th of October.The 13th of October.The 13th of October.The 13th of October.The 13th of October.The 13th of October.The 13th of October.
