2013 A-level H1 Mathematics (8864) Question 12 Suggested Solutions

By KS Teng

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

(i)

Credits: HCI

Credits: HCI

(ii)
\mathrm{P}(A) = \frac{1}{6} \frac{1}{6} + \frac{1}{6} \frac{1}{6} + \frac{1}{6} \frac{1}{6} +\frac{1}{6} \frac{1}{6} + \frac{1}{6} + \frac{1}{6} =\frac{4}{9}

(iii)
\mathrm{P}(A \cap B) = \frac{1}{9}

(iv)
\mathrm{P}(A \cup B) = \frac{4}{9} + \frac{2}{6} - \frac{1}{9} = \frac{2}{3}

(v)
\mathrm{P} (B| A \prime) = \frac{\mathrm{P}(B \cap A \prime)}{\mathrm{P}(A \prime)} = \frac{\frac{1}{6} \frac{4}{6} + \frac{1}{6} \frac{4}{6}}{5/9} = \frac{2}{5}

KS Comments

The tree diagram was not easy definitely.

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2013 A-level H1 Mathematics (8864) Question 10 Suggested SolutionsJC Mathematics
2013 A-level H1 Mathematics (8864) Suggested SolutionsJC Mathematics