The probability that at least one ball of each color is chosen is 105/8568.
Given that:-
Number of red balls in the urn = 5
Number of white balls in the urn = 6
Number of blue balls in the urn = 7
We have to find the probability that at least one ball of each color is chosen.
Let us consider the that 1 ball of each color has been chosen.
Hence, we are left with 4 red balls, 5 white balls and 6 blue balls.
Now we have to choose 2 balls from them.
Hence,
Number of ways in which we can choose 2 balls from (4+5+6) that is 15 balls = [tex]^{15}C_2=105[/tex]
Total number of ways in which we can choose 5 balls from 18 balls =
[tex]^{18}C_5=8568[/tex]
Hence,
Probability that at least one ball of each color is chosen = 105/8568
To learn more about probability, here:-
https://brainly.com/question/11234923
#SPJ4
https://brainly.com/question/11234923?referrer=searchResults