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One marble is randomly drawn and then replaced from a jarcontaining two white marbles and one black marble. A secondmarble is drawn. What is the probability of drawing a white andthen a black?

Respuesta :

Event A: drawing a white marble

Event B: drawing a blck marble

Probability of drawing a white and then a black (with replacement:

[tex]\begin{gathered} P(A,B)=P(A)*P(B) \\ \\ P(A,B)=\frac{#white\text{ }marbles}{#marbles}*\frac{#black\text{ }marbles}{#marbles} \\ \\ P(A,B)=\frac{2}{3}*\frac{1}{3} \\ \\ P(A,B)=\frac{2}{9} \end{gathered}[/tex]

Then, the probability of drawing a white and then a black is 2/9

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