<p>Two fair six-sided dice are thrown. Events \(A\), \(B\) and \(C\) are defined as follows.</p>
<p style="text-align: center">\(A\): sum of the two scores is odd<br>\(B\): at least one of the two scores is greater than \(4\)<br>\(C\): the two scores are equal</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find, giving your reasons clearly in each case, which pair of the events are</span></div><ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">mutually exclusive,</span><span class="inline-marks">[1]</span></div></li><li><div class="list-item-content"><span class="list-item-text">independent.</span><span class="inline-marks">[3]</span></div></li></ol></li><li><div class="list-item-content"><span class="list-item-text">Find \(\mathrm{P}(C \mid B)\).</span><span class="inline-marks">[2]</span></div></li></ol>

Two fair six-sided dice are thrown. Events \(A\), \(B\) and \(C\) are defined as follows.

\(A\): sum of the two scores is odd
\(B\): at least one of the two scores is greater than \(4\)
\(C\): the two scores are equal

2025 NYJC P2 Q6

2025 NYJC P2 Q6