Mathematics – Poker: The odds of being dealt a four of a kind in poker are 4,164 to 1 against, for a probability of 2.4 ×10 −4 (0.024%). Mathematics – Poker: The odds of being dealt a straight flush (other than a royal flush) in poker are 72,192 to 1 against, for a probability of 1.4 ×10 −5 (0.0014%). Mathematics – Poker: The odds of being dealt a royal flush in poker are 649,739 to 1 against, for a probability of 1.5 ×10 −6 ( 0.000 15%). ( 0.0 −2 long and short scales: one millionth) Mathematics – Lottery: The odds of winning the Jackpot (matching the 6 main numbers) in the UK National Lottery, with a single ticket, under the rules as of August 2009, are 13,983,815 to 1 against, for a probability of 7.151 ×10 −8 ( 0.000 007 151%). Mathematics – Lottery: The odds of winning the Grand Prize (matching all 6 numbers) in the Australian Powerball lottery, with a single ticket, under the rules as of April 2018, are 134,490,400 to 1 against, for a probability of 7.435 ×10 −9 ( 0.000 000 743 5%). Mathematics – Lottery: The odds of winning the Grand Prize (matching all 6 numbers) in the US Powerball lottery, with a single ticket, under the rules as of October 2015, are 292,201,338 to 1 against, for a probability of 3.422 ×10 −9 ( 0.000 000 342 2%). ( 0.000 0 −3 short scale: one billionth long scale: one milliardth) Biology: Human visual sensitivity to 1000 nm light is approximately 1.0 ×10 −10 of its peak sensitivity at 555 nm. Mathematics: The probability in a game of bridge of one player getting a complete suit is approximately 2.52 ×10 −11 ( 0.000 000 002 52%). ( 0.000 000 0 −4 short scale: one trillionth long scale: one billionth) 
Mathematics: The Ramanujan constant, e π 163 = 262 537 412 640 768 743.999 999 999 999 25 …, is an almost integer, differing from the nearest integer by approximately 7.5 ×10 −13.( 0.000 000 000 0 −5 short scale: one quadrillionth long scale: one billiardth) Mathematics: The probability of rolling snake eyes 10 times in a row on a pair of fair dice is about 2.74 ×10 −16.( 0.000 000 000 000 0 −6 short scale: one quintillionth long scale: one trillionth) Mathematics: The probability of matching 20 numbers for 20 in a game of keno is approximately 2.83 × 10 −19.( 0.000 000 000 000 000 0 −7 short scale: one sextillionth long scale: one trilliardth)
( 0.000 000 000 000 000 000 0 −8 short scale: one septillionth long scale: one quadrillionth) ( 0.000 000 000 000 000 000 000 0 −9 short scale: one octillionth long scale: one quadrilliardth) Mathematics: The probability in a game of bridge of all four players getting a complete suit each is approximately 4.47 ×10 −28.
Computing: The number 1.4 ×10 −45 is approximately equal to the smallest positive non-zero value that can be represented by a single-precision IEEE floating-point value. Mathematics: The chances of shuffling a standard 52-card deck in any specific order is around 1.24 ×10 −68 (or exactly 1⁄ 52!). 1 ×10 −101 is equal to the smallest positive non-zero value that can be represented by a single-precision IEEE decimal floating-point value. 1.5 ×10 −157 is approximately equal to the probability that in a randomly selected group of 365 people, all of them will have different birthdays. 4.9 ×10 −324 is approximately equal to the smallest positive non-zero value that can be represented by a double-precision IEEE floating-point value. 1 ×10 −398 is equal to the smallest positive non-zero value that can be represented by a double-precision IEEE decimal floating-point value. 3.6 ×10 −4951 is approximately equal to the smallest positive non-zero value that can be represented by an 80-bit x86 double-extended IEEE floating-point value. 6.5 ×10 −4966 is approximately equal to the smallest positive non-zero value that can be represented by a quadruple-precision IEEE floating-point value. 
Computing: 2.2 ×10 −78913 is approximately equal to the smallest positive non-zero value that can be represented by an octuple-precision IEEE floating-point value.ġ ×10 −6176 is equal to the smallest positive non-zero value that can be represented by a quadruple-precision IEEE decimal floating-point value. However, demanding correct punctuation, capitalization, and spacing, the probability falls to around 10 −360,783. Mathematics – random selections: Approximately 10 −183,800 is a rough first estimate of the probability that a typing " monkey", or an English-illiterate typing robot, when placed in front of a typewriter, will type out William Shakespeare's play Hamlet as its first set of inputs, on the precondition it typed the needed number of characters.
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