A botanical research group is studying seed variations across two germination trays, Alpha and Beta. Tray Alpha contains 7 seeds: 4 are Crimson (CCC) and 3 are Gold (GGG). Tray Beta contains 5 seeds: 2 are Crimson and 3 are Gold.
Two seeds are selected sequentially without replacement from Tray Alpha and transplanted into Tray Beta. Subsequently, a single seed is drawn from the resulting 7 seeds in Tray Beta.
Calculate the probability that both seeds transplanted from Tray Alpha are the same color. Let this be event AAA.
Find P(B)P(B)P(B), where B B\,B is the event that the final seed drawn from Tray Beta is Crimson.
Find P(A∩B)P(A \cap B)P(A∩B).
Determine the value of P(A∪B)P(A \cup B)P(A∪B).
Given that all three seeds selected during the process (the two from Alpha and the one from Beta) are the same color, find the probability that they are all Crimson.
Practise Edexcel A Level Maths Tree Diagrams with exam-style questions for A Level Maths. 27 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
