Solution — 2024 Question 8 Probability

$$\begin{array}{cc}\mathrm{P}\left(B\right)& =\mathrm{P}(A\cup B)-\mathrm{P}(A\cap B^{\prime })\\ & =0.51-0.24\\ & =0.27∎\end{array}$$

$$\begin{array}{cc}\mathrm{P}(A\cap B)& =\mathrm{P}\left(A\right)-\mathrm{P}(A\cap B^{\prime })\\ & =0.3-0.24\\ & =0.06\end{array}$$

$$\begin{array}{cc}\mathrm{P}\left(A\right)\mathrm{P}\left(B\right)& =0.3\left(0.27\right)\\ & =0.081\end{array}$$