Option D
The probability of randomly selecting a marble that is NOT yellow is [tex]\frac{8}{9}[/tex]
Solution:
Given that , From a barrel of colored marbles, you randomly select 1 blue, 2 yellow, 7 red, 6 green, and 2 purple marbles.
[tex]\text { Probability of an event }=\frac{\text { number of favourable outcomes }}{\text { total possible outcomes }}[/tex]
Total possible outcomes = 1 blue + 2 yellow + 7 red + 6 green + 2 purple marbles = 18 marbles
So, for the event of picking a non yellow marble, we have to avoid yellow marble
Number of favourable outcomes = 1 blue + 7 red + 6 green + 2 purple marbles = 16 marbles
[tex]\text { Probability }=\frac{16}{18}=\frac{8}{9}[/tex]
So, the probability for not picking yellow marble is [tex]\frac{8}{9}[/tex] So option D is correct.
