Not equally. For example... A circumstance we have no control over is where and what family we are born into. Let's say one kid is born into a Christian family and all he has to do is go with the flow and he's brought up to believe in God and Jesus as the family does... Another kid is born into a family of atheists and they're professors at an astute college who can answer questions and bring him up to be just like them. He may have questions that challenge his family but they answer them to his content, they may even ridicule him for even thinking something else so he doesn't challenge in a sense to keep everything in balance and grows up and surrounds himself with those types of people and that's all he ever knows. For this person to become a believer, they will face challenges, many rather significant that the other child was not faced with. That's not an equal opportunity.
I don't believe that the ability to believe as the Christian faith teaches is an equal opportunity, opportunity.
Why does one person get it easy and another doesn't? This is your eternal well-being at stake here.
But this guy/gal has the oppurtuntiy to walk into a church and ask questions of other people. He/she would have the opportunity to believe IMO.