<p>Events \(A\) and \(B\) are such that&nbsp;\(\mathrm{P}(A) = \frac{1}{2}\), \(\mathrm{P}(B) = \frac{1}{3}\) and \(\mathrm{P}(A|B) = \frac{1}{4}\).</p>
<ol class="abc-list"><li data-list-item-id="item-1789988290811-1jnwi8a9x" data-list-item-path="item-1789988290811-1jnwi8a9x"><div class="list-item-paragraph"><p>Find the probability that both events \(A\) and \(B\) occur.</p><span class="inline-marks">[2]</span></div></li><li data-list-item-id="item-1789988291403-o1uan45kc" data-list-item-path="item-1789988291403-o1uan45kc"><div class="list-item-paragraph"><p>Find \(\mathrm{P}(A|B')\).</p><span class="inline-marks">[4]</span></div></li></ol>

Events \(A\) and \(B\) are such that \(\mathrm{P}(A) = \frac{1}{2}\), \(\mathrm{P}(B) = \frac{1}{3}\) and \(\mathrm{P}(A|B) = \frac{1}{4}\).

<p>Find the probability that both events \(A\) and \(B\) occur.</p>

Probability

International Baccalaureate Mathematics: Analysis and Approaches Standard Level

2025 Nov TZ3 P1 Q4

2025 Nov TZ3 P1 Q4