Jeremy has two bags of beads. Bag 1 contains 7 blue beads and 3 yellow beads. Bag 2 contains 11 blue beads and 4 yellow beads. Jeremy rolls a fair six-sided dice. If he rolls a number less than three, he takes a marble from bag 1. If he does not roll a number less than three, he takes a marble from bag 2. Work out the probability that Jeremy chooses a yellow marble.