Question

some bags of rice containing the following weights of rice in kg is 4.97, 3.999, 5.05, 5.08, 5.03 ,5.00,5.04, 4.35, 5.06, 5.00, 5.07,5.04, 5.00, 4.098, 5.001.find the probability that any of these bags chosen at random contains less than five kg.

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{bags}=15 \\ \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}=15 \\ \mathrm{Number}\mathrm{of}\mathrm{bags}\mathrm{containing}\mathrm{rice}\mathrm{less}\mathrm{than}5\mathrm{kg}=4 \\ \mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}=4 \\ \mathrm{P}\left(\mathrm{selecting}\mathrm{a}\mathrm{bag}\mathrm{containing}\mathrm{rice}\mathrm{less}\mathrm{than}5\mathrm{kg}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}}=\frac{4}{15} \end{gathered}$$