Complete a seed-colour/growth tree and calculate total and conditional probabilities.

A packet of seeds contains 40% red seeds and 60% yellow seeds. The probability that a red seed grows is 0.9, and that a yellow seed grows is 0.8. A seed is chosen at random from the packet.

1. Complete the probability tree diagram below.[3]
2. [7]
   1. Calculate the probability that the chosen seed is red and grows.
   2. Calculate the probability that the chosen seed grows.
   3. Given that the seed grows, calculate the probability that it is red.