Question

NEED HELP ASAP!!!

From a barrel of colored marbles, you randomly select 1 blue, 2 yellow, 7 red, 6 green, and 2 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow.
A.)11/18
B.)7/9
C.)9/10
D.)8/9

Answer 1

Option D

The probability of randomly selecting a marble that is NOT yellow is
`(8)/(9)`

Solution:

Given that , From a barrel of colored marbles, you randomly select 1 blue, 2 yellow, 7 red, 6 green, and 2 purple marbles.

`\text { Probability of an event }=\frac{\text { number of favourable outcomes }}{\text { total possible outcomes }}`

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

`\text { Probability }=(16)/(18)=(8)/(9)`

So, the probability for not picking yellow marble is
`(8)/(9)` So option D is correct.