Probability: Total vs. Cluster potential

[falkor2k15]

In Roulette can events with similar probabilities for running totals have different stats for occurring in a row (or clustering)?

Since Red and Black is 50/50, does this also dictate how many reds or blacks can appear in a row on average?

However, I think some 50/50 events whilst also having 50% probability could result in vastly different results when it comes to average in a row and maximum in a row?

So could events be described as 50/50 (or whatever probability) but with different properties when it comes to clustering?

[falkor2k15]

Dozen 1 = 01	1462	1 in a row	1462	67%
Dozen 1 = 02	495	2+ in a row	733	33%
Dozen 1 = 03	159		2195
Dozen 1 = 04	55
Dozen 1 = 05	20
Dozen 1 = 06	3
Dozen 1 = 07	1
Dozen 2 = 01	1415
Dozen 2 = 02	501
Dozen 2 = 03	157
Dozen 2 = 04	36
Dozen 2 = 05	17
Dozen 2 = 06	8
Dozen 2 = 07	3
Dozen 3 = 01	1447
Dozen 3 = 02	475
Dozen 3 = 03	167
Dozen 3 = 04	57
Dozen 3 = 05	15
Dozen 3 = 06	8
Dozen 3 = 07	2
Dozen 3 = 08	1

Above, we clearly got more chance for 1 in a row compared to 2+ in a row, right?

But when I do the average for Dozen 1 in a row I get 1.49, so that would tell us there's a fine line between 1 in a row compared to 2+ in a row?

What is the difference between these 2 statistical methods and which one is more accurate?