But the probability of picking a fair coin and then given the fair coin getting two heads in a row will be the 5 8ths times the 25%. So the probability, so this whole branch, I should maybe draw it this way, the probability of this whole series of events happening. So starting with you picking the fair coin and then getting two heads in a row will be, I'll write it this way, it will be 5 8ths, 5 over 8, times this right over here, times the 0.25. I want to make it very clear. The 0.25 is the probability of getting two heads in a row given that you knew that you got a fair coin. But the probability of this whole series of events happening, you would have to multiply this times the probability that you actually got a fair coin. So another way of thinking about it is this is the probability that you got a fair coin and that you have two heads in a row.