2024 TJC H1 Q6

For a certain strain of a flower, the probability that a seed produces a red flower is \(0.2\), otherwise the seed produces a white flower.

In a large flower farm, the seeds of this strain of flowers are sold in packets of \(10\).

1. Find the probability that a randomly chosen packet has at most one seed that produces a red flower. State one assumption in your calculation.[2]

Bernice bought \(15\) packets of seeds.

2. Find the probability that at least \(8\) packets have more than one seed that produces red flowers.[3]