Sooo, I don't have a ghallarhorn. Yep, I'm in that party.
Rather than whine about it (oh, I have done my share of complaining), I thought I'd break out some statistics.
[b]Assumptions[/b]: RNG is in play and impartial. Perhaps I'm wrong. But that's my assumption.
[u][b]Background Numbers[/b][/u]
There are currently 17 exotics that can drop as a reward. My drop count is in parenthesis if I've gotten multiples.
They are:
Hard Light
Hawkmoon (2)
Mida Multi-Tool
Monte Carlo (2)
No Land Beyond
Red Death (2)
SUROS Regime
The Last Word (2)
Universal Remote (2)
Ice Breaker
Patience and Time
Plan C
4th Horseman
Dragon's Breath (3)
Ghallarhorn
Thunderlord (2)
Truth (3)
Excluded: Vex Mythoclast, Necrochasm. These are raid specific.
Excluded: 247 Vesta Dynasty, Fate of all Fools, Lord of Wolves. These are not available.
Excluded: Exotic bounties: Pocket Infinity, Thorn, Bad Juju, Invective, Super Good Advice
I currently lack SUROS Regime, 4th Horseman, and Ghallarhorn.
I've received (as rewards) 23 exotics.
[u][b]The Statistics[/b][/u]
If every weapon has the same drop rate, then the chance of receiving a Ghallarhorn as an exotic reward is
1 out of 17, or 1/17 == 0.058824 or 5.8%
So, I have a 5% chance of getting a ghorn each time.
To put it another way, I have a 94.11% chance of NOT receiving a ghorn each time.
To determine the odds of not receiving a ghorn across multiple drops, I multiply the chance by itself each time.
So, the odds of not receiving a ghorn in 3 straight exotic drops is
94.11 * 94.11 * 94.11 = 83%
The odds are 83% that I will NOT receive a ghorn as the exotic in 3 straight drops.
[u][b]Where I'm At[/b][/u]
So when I track down the numbers, since I've received 23 exotics so far, that puts me at a 25% chance of not receiving a ghallarhorn even once during those 23 drops. 25%? Is that crazy? Insane? If someone told me, "look beaker, you're going to get 23 exotics, and there's a 1 in 4 chance you won't get a ghallarhorn", would I be upset at this point?
Nah. I don't think so. Honestly, I'm not that lucky of a person. To fall in the 25% category really doesn't surprise me.
[i]It's a bummer[/i], but it's not that surprising.
[u][b]When do I Start Crying Foul?[/b][/u]
I think when I get to the 10% point, I'll start belly aching. That's 38 exotic drops. 15 more for me. If, after 15 more exotics I still don't have a ghallarhorn, then I'll probably start complaining that something isn't fair.
[u][b]What about you?[/b][/u]
So what about you? If you're still lacking that one exotic you'd really like, how many exotics have you received without getting it? Where are you statistically?
[u][b]The Raw Numbers[/b][/u]
Exotic Drops in a row ==> Probably of Not Getting a your desired exotic even once during that time
0 ==> 100%
1 ==> 94%
2 ==> 89%
3 ==> 83%
4 ==> 78%
5 ==> 74%
6 ==> 70%
7 ==> 65%
8 ==> 62%
9 ==> 58%
10 ==> 55%
11 ==> 51%
12 ==> 48%
13 ==> 45%
14 ==> 43%
15 ==> 40%
16 ==> 38%
17 ==> 36%
18 ==> 34%
19 ==> 32%
20 ==> 30%
21 ==> 28%
22 ==> 26%
[b]23 ==> 25%[/b]
24 ==> 23%
25 ==> 22%
26 ==> 21%
27 ==> 19%
28 ==> 18%
29 ==> 17%
30 ==> 16%
31 ==> 15%
32 ==> 14%
33 ==> 14%
34 ==> 13%
35 ==> 12%
36 ==> 11%
37 ==> 11%
38 ==> 10%
39 ==> 9%
40 ==> 9%
41 ==> 8%
42 ==> 8%
43 ==> 7%
44 ==> 7%
45 ==> 7%
46 ==> 6%
47 ==> 6%
48 ==> 5%
49 ==> 5%
-
Played 6 months without getting a GHorn. Got 4 in the last 2 weeks. Two from Hard Atheon CP, one from Normal Deathsinger, and one from a Nightfall. Forget all the math-each drop is its own event. Previous drops have no bearing.