Is the point (2,3) a solution for the inequality y< 2x+10

Yes. That point is in the solution space.

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You can also figure out algebraically whether the point satisfies the inequality
   y < 2x + 10
Substitute the numbers
   3 < 2·2 + 10
   3 < 14 . . . . . . . . . . . True. (2, 3) is a solution

It is 2 out of 8 she will pick green and 3 out of 7 she will pick green but red and green would be 5 out of 5 so 50% chance