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

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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