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There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?

Respuesta :

Answer:

The probability of getting exactly iblue is [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]from\ the\ given\ condition.[/tex]

[tex]We\ only\ have\ two\ way.[/tex]

[tex]One\ way\ is\ the\ first\ one\ take\ the\ blue.[/tex]

[tex]one\ but\ the\ second\ one\ take\ red.\ one.[/tex]

[tex]Another\ way\ is\ the\ first\ one\ take\ the\ red.[/tex]

[tex]one\ but\ the\ second\ one\ take\ the\ blue.[/tex]

[tex]one.[/tex]

[tex]so.\ P_1=\frac{4}{9}\times\frac{5}{8}=\frac{5}{18}[/tex]

[tex]P_2=\frac{5}{9}\times\frac{4}{8}=\frac{5}{18}[/tex]

[tex]so.\ we\ have\ p=p_1+p_2=\frac{5}{18}+\frac{5}{16}=\frac{5}{9}[/tex]

I hope this helps you

:)

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