Talking about chances:
Finding the same bitcoin address (with private key) = 1 in 2^160
Compare to: [BAD THINGS]
1. Being killed by a vending machine. (1 in 112 million)
2. Being killed in a terrorist attack on an airline. (1 in 25 million)
3. Dying from a bee, hornet or wasp sting. (1 in 6.1 million)
4. Dying from being left-handed and using a right-handed product incorrectly. (1 in 4.4 million)
5. Dying in a plane crash. (1 in 1 million)
6. Being killed by flesh-eating bacteria. (1 in 1 million)
7. Getting Struck by Lightning. (1 in 1 million)
8. Drowning (1 in 2,000,000)
9. Drowning specifically in a bathtub. (1 in 840,000)
10. Dying in an on-the-job accident. (1 in 48,000)
11. Being murdered…just in general. (1 in 18,000)
Compare to: [GOOD THINGS]
1. Having identical quadruplets. (1 in 15 million)
2. Becoming US president. (1 in 10 million)
3. Becoming a Movie Star. (1 in 1,505,000)
4. Becoming an astronaut. (1 in 12,100,000)
5. Getting a royal flush in a first hand of poker. (1 in 649,740)
6. Winning an Olympic gold medal. (1 in 662,000)
7. Becoming a pro athlete. (1 in 22,000)
8. Winning an academy award. (1 in 11,500)
8. Finding out your child is a genius. (1 to 250)
9. Dating a millionaire. (1 to 215)
HOWEVER, the chance of finding the same bitcoin address (with private key) is still higher than the chance that YOU exist:
So, there is still a chance!!!