Question

select the correct answer.
neil donated 30 notebooks to a local school and ronald donated 20 notebooks. of the donated notebooks, 16 of neils notebooks were wide - ruled and 12 of ronalds notebooks were wide - ruled.
charmaine will randomly choose a notebook from a box containing either neils or ronalds donated notebooks. if she wants to pick a wide - ruled notebook, which box should she choose from?
a. there is not enough information to determine whose box charmaine should choose.
b. neils box
c. charmaine is equally likely to choose a wide - ruled notebook from ronalds box or neils box.
d. ronalds box

Explanation:

Step1: Calculate probability for Neil's box

The probability of picking a wide - ruled notebook from Neil's box is the number of wide - ruled notebooks in Neil's box divided by the total number of notebooks in Neil's box. Neil donated 30 notebooks and 16 were wide - ruled. So the probability $P_N=\frac{16}{30}=\frac{8}{15}\approx0.533$.

Step2: Calculate probability for Ronald's box

The probability of picking a wide - ruled notebook from Ronald's box is the number of wide - ruled notebooks in Ronald's box divided by the total number of notebooks in Ronald's box. Ronald donated 20 notebooks and 12 were wide - ruled. So the probability $P_R=\frac{12}{20}=\frac{3}{5} = 0.6$.

Step3: Compare probabilities

Since $0.6>0.533$ (i.e., $P_R > P_N$), Ronald's box has a higher probability of yielding a wide - ruled notebook.

Answer:

D. Ronald's box