Nandini's phone battery dies as she is driving to her hometown. She knows that there are two 4 way junctions before reaching her hometown. So, she drives on until she reaches a four way junction and arbitrarily chooses one of the ways in front of her, and at the next four way junction, she again randomly chooses one of the ways in front of her. What is the probability that Nandini will reach her hometown without having to head back? Enter the answer up to 2 decimals accuracy.