<p>Events $A$ and $B$ are such that $\mathrm{P}\left( A \right)=0.5$ and $\mathrm{P}\left( B \right)=q$, where $0\le q < 0.5$.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">It is given that $P\left( A'\cap B' \right)=0.27$.</div><ol class="i-list"><li><div class="list-item-paragraph">Find $\mathrm{P}\left( \left. B \right|A \right)$, leaving your answer in terms of $q$.</div><p style="text-align: right;">[3]</p></li><li><div class="list-item-paragraph">If $A$ and $B$ are now known to be independent events, find $q$.</div><p style="text-align: right;">[2]</p></li></ol></li><li><div class="list-item-paragraph">Find, in terms of $q$, the range of values that $P\left( A'\cap B' \right)$ can take.</div><p style="text-align: right;">[2]</p></li></ol>

Events $A$ and $B$ are such that $\mathrm{P}\left( A \right)=0.5$ and $\mathrm{P}\left( B \right)=q$, where $0\le q < 0.5$.

It is given that $P\left( A'\cap B' \right)=0.27$.

Find, in terms of $q$, the range of values that $P\left( A'\cap B' \right)$ can take.

2022 JPJC J2 MYE P2 Q7

2022 JPJC J2 MYE P2 Q7

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