Box of donuts

Elizabeth brought a box of donuts to share. There are two dozen (24) donuts in the box, all identical in size, shape, and color. Six are jelly-filled, ten are lemon-filled, and eight are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a lemon-filled donut followed by a jelly-filled donut.

Final Answer:

p =  0.0453

Step-by-step explanation:

$$\begin{gathered} p(A\cap B)=p(A)\cdot p(B|A) \\ {p}_1=\frac{5}{24}\doteq 0.2083 \\ {p}_2=\frac{5}{23}\doteq 0.2174 \\ p=p_1\cdot p_2=\frac{5}{24}\cdot \frac{5}{23}=\frac{5\cdot 5}{24\cdot 23}=\frac{25}{552}=0.0453 \end{gathered}$$

Try another example