A probability question, help!?

Question

A packet contains the seeds of flowers which will be either red or yellow. 2/3 of the seeds will produce red ones and 1/3 will produce yellow ones. (Please note that no specific seeds number is given)
a) If select two seeds at random, what is the probability that both will produce a yellow flower?
b) 4/5 of the red flower seeds germinate, while 9/10 of yellow flower seeds germinate. What is the probability that a seed chosen at random will germinate?

Would you please kindly show the working process?

Answer 1

a. 1/3 * 1/3 = 1/9 chance of both yellow
b. 4/5 of 2/3 = 8/15 chance red and germinates
9/10 of 1/3 = 3/10 chance yellow and germinates

first scenario or second scenario; "or" means to add
8/15 + 3/10 = 16/30 + 9/30 = 25/30 = 5/6 chance random seed will germinate.

No guarantees about this answer, but this is the way I see it.