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#GotGotNeed pic.twitter.com/1IlICbMUZl — Panini UK & Ireland (@OfficialPanini) March 26, 2018 Prof Harper then turned his attention to the more likely scenario. He said: “The first sticker you buy is absolutely guaranteed not to be a duplicate. “The second sticker you get has a 681/682 (99.85%) chance of being a new sticker. “The third sticker you get has a 680/682 (99.7%) chance of being a new sticker, and so on.” Prof Harper then added up all of the probabilities of getting a new sticker to obtain a formula, which he adjusted using conditional probabilities because the stickers come in packs of five. His calculations showed that on average you would need to buy 4,832 stickers, or 967 packets, to complete the book, costing £773.60. Prof Harper added his calculations showed that once you had only 19 stickers left to collect, you would still need to buy 483 packets of stickers to complete the album. He said: “What is interesting is that to collect just the last 19 stickers for the book, you would still be required to buy 483 packets of stickers, or half the total number of expected packets. “Put another way, you are only half way through when you have just 19 stickers left to collect.” However, Prof Harper said avid collectors could significantly reduce their outlay by collecting in groups and said two people collecting and swapping can reduce the number of packets required by 30%, five players by 57% and 10 players by 68%. However, even with 10 friends swapping it might still cost them each £247 on average to complete the album. In 2016 Prof Harper calculated that the average cost of filling the brand’s 680-space Euro sticker book was £374, meaning the cost has more than doubled from that in 2018. He said: “I can still recall the joy of finally completing my first Panini album as a young boy for the 1982 World Cup in Spain.
For the original version including any supplementary images or video, visit https://jerseyeveningpost.com/news/uk-news/2018/03/28/maths-expert-filling-panini-world-cup-sticker-album-will-cost-774-on-average/
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