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To put in perspective the size of a googol, the mass of an electron, just under 10 −30 kg, can be compared to the mass of the visible universe, estimated at between 10 50 and 10 60 kg. [5] It is a ratio in the order of about 10 80 to 10 90 , or at most one ten-billionth of a googol (0.00000001% of a googol).
A typical book can be printed with 10 6 zeros (around 400 pages with 50 lines per page and 50 zeros per line). Therefore, it requires 10 94 such books to print all the zeros of a googolplex (that is, printing a googol zeros). [4] If each book had a mass of 100 grams, all of them would have a total mass of 10 93 kilograms.
Believed to be the first coupon ever, this ticket for a free glass of Coca-Cola was first distributed in 1888 to help promote the drink. By 1913, the company had redeemed 8.5 million tickets. [6] Coca-Cola's 1888-issued "free glass of" is the earliest documented coupon. [6] [7] Coupons were mailed to potential customers and placed in magazines ...
Let time T be the number of draws needed to collect all n coupons, and let t i be the time to collect the i-th coupon after i − 1 coupons have been collected. Then T = t 1 + ⋯ + t n {\displaystyle T=t_{1}+\cdots +t_{n}} .
The economist Alex Tabarrok has argued, that the success of this promotion lies in the fact that consumers value the first unit significantly more than the second one. So compared to a seemingly equivalent "Half price off" promotion, they may only buy one item at half price, because the value they attach to the second unit is lower than even the discounted price.
1/52! chance of a specific shuffle Mathematics: The chances of shuffling a standard 52-card deck in any specific order is around 1.24 × 10 −68 (or exactly 1 ⁄ 52!) [4] 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.
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