Hello, new to these forums. I have a question - apologies if it is fairly simple to work out the answer, but my mathematical ability is limited.
Story here: BBC NEWS | Asia-Pacific | Woman passes 950th driving test
A Korean woman passed her driving theory test on the 950th go. The test consists of 50 multiple choice questions with 4 possible answers. You need to get more than 60% to pass the test. I was wondering what were the chances of passing the test simply randomly. I think that if you're purely guessing the chances are you should get around 25% right, and that the chance of getting 100% in the test is 1 in 4^50 (correct me if I'm wrong), but I can't figure out a simple method to generate results in between. I've been working on this for hours now but given my lack of knowledge I'm finding it hard to solve!
Edit: on checking that story I've noticed that it doesn't say each multiple choice question has 4 answers, not sure where I got that from, but could someone please answer with that assumption anyway.