The phrase "a possibility for everyone" is correct and usable in written English.
It can be used to express that something is accessible or available to all individuals, regardless of their background or circumstances.
Example: "The new community program aims to create a possibility for everyone to access quality education and resources."
Alternatives: "an opportunity for all" or "a chance for everyone".
There was still a possibility for everyone to sign off on Scorsese's cut, slap "Presented by Martin Scorsese" above the title and submit it in time for the Toronto Film Festival in August 2011.
Here, 'to have' rights means to participate in staging, creating, and sustaining (through protest, legislation, collective action, or institution building) a common political world where the ability to legitimately claim and demand rights becomes a possibility for everyone".
Once the dank, dark refuge of the alienated and angst-ridden, the movie theaters that specialize in foreign and independent fare have become disturbingly bright, cheerful places, where tolerance reigns, redemption is a possibility for everyone and cute little children bond happily with superficially crusty but inwardly kind senior citizens.
Literary experts believe that many of the themes associated with the book will resonate in a country coming to terms with the end of a great economic boom and experiencing unemployment and hardship: they look back with longing to the Roaring Twenties and a time when the boom seemed to suggest that outrageous wealth was a possibility for everyone.
Add in resources such as Codecademy, which gained 200,000 users in its first three days, and now coding seems like a possibility for everyone.
I'm totally convinced now that true happiness is a possibility for everyone, so I'm asking you to take the lessons I have learned to heart.
"There was a genuine possibility for everyone to see the film," he said.
Whiter and whiter teeth have become an accepted possibility for everyone".
The company noted the success of the study at the time and said it would, "prepare for the day when full-genome sequencing will be an affordable possibility for everyone".
