A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will not choose a blue marble?

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Let's see how many marbles we have in total.

12+11+17+5=45

We want to find the probability of selecting a marble that is not blue. Let's see how many marbles aren't blue.

12+11+5=28

We have this probability out of 48.

28/48

We simplify, giving us 7/12 or about 58.33%.

I hope this helps!

Answer: [tex]\dfrac{28}{45}[/tex]

Step-by-step explanation:

Given : The total number of marbles = [tex]12+11+17+5=45[/tex]

The number of blue marbles = 17

Then, the number of marbles except blue = [tex]45-17=28[/tex]

Then, the probability that you will not choose a blue marble is given by :-

[tex]\text{P(not blue)}=\dfrac{\text{Number of marbles not blue}}{\text{Total marbles}}\\\\=\dfrac{28}{45}[/tex]

Hence, the probability that you will not choose a blue marble = [tex]\dfrac{28}{45}[/tex]