Ultima RS Festival Coin Pack

The Ultima RS Coin Pack (named simply Festival Coin Pack in-game) is a Pro Kit Box used during the Ultima RS Festival in Asphalt 8: Airborne.
The box contains only . The current statistical average of Coins per box is .
== Availability ==
Festival Coin Packs can be obtained by accomplishing festival quests or from the Festival Cup TLEs. On the Festival screen, they are opened by tapping the Claim button of the quest. The Coins are then automatically added to the player's coin score.
== Analysis ==
=== Sample space ===
The box description says that the box grants “up to 8 Festival Coins”. In reality, only Coins can occur, so the sample space is Ω = {}.
=== Probabilities ===
If the probabilities for all outcomes were equal, they would all have the probability P = 1/ of occurring. If this was the case, the expected value (the average number of Coins per box in the long run) would be 
: Coins per box.
=== Statistics ===
After trials (opened boxes), the real average number is
: Coins per box.