Respuesta :
Answer:
The probability that all the marbles are red is 5 / 1012
Explanation:
There are in total 5 + 10 + 9 = 24 marbles. Out of these 24 marbles, 5 are red.
Now if we randomly pick the first marble, the probability that it will be red is
[tex]\frac{5}{24}[/tex]For the second marble I pick, there are now 23 marbles in the bag. Out of these 23 marbles, 4 are red ( because I already took the 5th marble out). Therefore, the probability that the second marble will be red is
[tex]\frac{4}{23}[/tex]Similarly, for the third marble, the probability that it will be red will be
[tex]\frac{3}{22}[/tex]since there are 3 red marbles out of 22 total.
Therefore, the probability that ALL three marbles together will be red is
[tex]\frac{5}{24}\times\frac{4}{23}\times\frac{3}{22}=\frac{60}{12,144}[/tex][tex]=\frac{5}{1012}[/tex]Hence, the probability that all the marbles are red is 5 / 1012.
