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A jar contains 8 white, 10 blue, and 18 red marbles. If one marble is drawn at random from the jar, find theprobability that:

A Jar Contains 8 White 10 Blue And 18 Red Marbles If One Marble Is Drawn At Random From The Jar Find Theprobability That class=

Sagot :

To solve this problem, you can use the following formula:

[tex]P(A)=\frac{outcome\text{ in A}}{total\text{ number of outcomes}}.[/tex]

Now, for all the problems, the total number of outcomes is:

[tex]8+10+18=36.[/tex]

Now, there are 8 white marbles and 10 blue marbles, therefore:

[tex]P(white\text{ or blue\rparen= }\frac{8+10}{36}=\frac{18}{36}=\frac{1}{2}.[/tex]

Analogously:

[tex]P(white\text{ or red\rparen=}\frac{8+18}{36}=\frac{26}{36}=\frac{13}{18}.[/tex][tex]P(blue\text{ or red\rparen=}\frac{10+18}{36}=\frac{7}{9}.[/tex]

Answer:

1.-

[tex]\frac{1}{2}.[/tex]

2.-

[tex]\frac{13}{18}.[/tex]

3.-

[tex]\frac{7}{9}.[/tex]