Sunday, July 15, 2012

Marvel Super Hero Squad MMO: The Wheel

The Wheel
If you've played the Marvel Super Hero Squad Online MMO then you're familiar with the wheel. The wheel works one of two ways - if you're not a subscriber, one "wedge" or "space" turns gold per day. But if you are a subscriber the entire wheel renews as gold every day. Every spin of the wheel costs one ticket. You can get tickets from in-game activities such as going on a mission or playing a card game.

I myself am a subscriber so I wondered how many tickets, on average, it would take to get all of the gold for one day. Since the wheel has 24 spaces the lowest possible number to land on all 24 spaces once (and, hence, getting all of the gold for that day) would by 24. The highest possible statistical number to land on all 24 spaces once actually does not exist... it would be infinite since it is theoretically possible to spin the wheel an infinite number of times and not land on any given space. So the answer is somewhere between 24 and infinity.

Below is the math I worked out to find the average number.

Gold Spaces
Remaining
Average
# of Spins
Necessary
To Get
A Gold Space
Rounded
Average
# of Spins
Necessary
To Get
A Gold Space
24
  1
1
23
  1.04
1
22
  1.09
1
21
  1.14
1
20
  1.20
1
19
  1.26
1
18
  1.33
1
17
  1.41
1
16
  1.5
2
15
  1.6
2
14
  1.71
2
13
  1.84
2
12
  2
2
11
  2.18
2
10
  2.40
2
9
  2.66
3
8
  3
3
7
  3.42
4
6
  4
4
5
  4.8
5
4
  6
6
3
  8
8
2
12
12
1
24
24
TOTALS
90.58
91


As you can see, the fewer gold spaces that are felt give you diminishing returns - it takes more tickets to get the remaining gold spaces. This trend starts accelerating greatly when there are five or four spaces left. I can tell you that 91 tickets per day is an awful lot. It would take me personally over an hour to get that many each day.

So here's what I do: I don't get all of the gold. I leave one space left. This, on average, would take 24 less spins so it would take about 67 spins on average. That's still a lot but it's much more manageable than 91. And usually this only means leaving 5 gold on the table. Not too bad since there is 150 gold on the wheel total. I've used this strategy many times. The fewest number of spins it has taken was somewhere around 35. The largest number was about 125.

I hope this was helpful to you in managing your daily activities on the Super Hero Squad MMO. Look for an upcoming post when I'll discuss the most efficient ways to get around 67 tickets daily.

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