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.

Correct answer:

p =  0.0453

Step-by-step explanation:

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

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