gaokao 2015 Q17

gaokao · China · beijing-arts 13 marks Probability Definitions Finite Equally-Likely Probability Computation
A supermarket randomly selected 1000 customers and recorded their purchasing of four products: A, B, C, and D. The data is organized in the table below, where ``✓'' indicates purchase and ``×'' indicates no purchase.\n\n\n
\n\n\backslashbox{Number of Customers}{Product}ABCD
\n\n100✓×✓✓
\n\n217×✓×✓
\n\n200✓✓✓×
\n\n300✓×✓×
\n\n85✓×××
\n\n98×✓××
\n\n
\n\n\n(I) Estimate the probability that a customer purchases both B and C\n(II) Estimate the probability that a customer purchases exactly 3 of the four products A, B, C, and D\n(III) If a customer has purchased product A, which of products B, C, and D is the customer most likely to have purchased? 
A supermarket randomly selected 1000 customers and recorded their purchasing of four products: A, B, C, and D. The data is organized in the table below, where ``✓'' indicates purchase and ``×'' indicates no purchase.\n\n\begin{center}\n\begin{tabular}{|l|l|l|l|l|}\n\hline\n\backslashbox{Number of Customers}{Product} & A & B & C & D \\\n\hline\n100 & ✓ & × & ✓ & ✓ \\\n\hline\n217 & × & ✓ & × & ✓ \\\n\hline\n200 & ✓ & ✓ & ✓ & × \\\n\hline\n300 & ✓ & × & ✓ & × \\\n\hline\n85 & ✓ & × & × & × \\\n\hline\n98 & × & ✓ & × & × \\\n\hline\n\end{tabular}\n\end{center}\n\n(I) Estimate the probability that a customer purchases both B and C\n(II) Estimate the probability that a customer purchases exactly 3 of the four products A, B, C, and D\n(III) If a customer has purchased product A, which of products B, C, and D is the customer most likely to have purchased?
Paper Questions
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20