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You pick a card at random. Without putting the first card back, you pick a second card at random. 3 4 5 6 What is the probability of picking an odd number and then picking an even number? Simplify your answer and write it as a fraction or whole number.

Respuesta :

Let:

A = pick an odd number

B = pick an even number

so:

[tex]\begin{gathered} P(A)=\frac{2}{4}=\frac{1}{2} \\ P(B)=\frac{2}{3} \end{gathered}[/tex]

Since they are independent events:

[tex]P(A\cap B)=P(A)\cdot P(B)=\frac{1}{2}\cdot\frac{2}{3}=\frac{2}{6}=\frac{1}{3}[/tex]

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