Question

For a particular household, there is a 90% chance that at the end of the week the rubbish bin is full,and a 50% chance that the recycling bin is full, independently of one another.Find the probability that at the end of the week: both bins are full

Answer 1

45%

Step-by-step explanation:

The probability that at the end of the week the rubbish bin is full = 90%

The probability that at the end of the week the recycling bin is full = 50%

Thus, the probability that at the end of the week: both bins are full:

`\begin{gathered} =90\%*50\% \\ =0.9*0.5 \\ =0.45 \\ =45\% \end{gathered}`

The probability that both bins are full is 45%.