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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

For a particular household there is a 90 chance that at the end of the week the rubbish bin is fulland a 50 chance that the recycling bin is full independently class=

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Answer:

45%

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:

[tex]\begin{gathered} =90\%\times50\% \\ =0.9\times0.5 \\ =0.45 \\ =45\% \end{gathered}[/tex]

The probability that both bins are full is 45%.

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