Problem - 2731
The germination rates of two different seeds are measured at $90\%$ and $80\%$, respectively. Find the probability that
- both will germinate
- at least one will germinate
- exactly one will germinate
- $80 \%\times 90\%=72\%$
- $1 - (1-90\%)\times (1-80\%) =98\%$ (by counting the opposite method), or $(80\% + 90\%) - (80\%\times 90\%)=98\%$ (by the inclusion-exclusion principle).
- $90\%\times (1-80\%) + 80\% \times (1-90\%)=26\%$