If a seed is planted, it has a 95% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that exactly 1 doesn't grow?

Answer 1

I would construct the solution as ₉C₁(0.05)¹(1 − 0.05)^(9-1)

equal to [9! ÷ 1! ÷ (9 − 1)!] × 0.05 × 0.6634204313

or 0.2985391941.

The probability sought is roughly 0.3 or 3 out of 10 chances.