At the school carnival, Ann is playing a game involving a stack of 10 index cards. Each card has a single number written on it: 1 card has a 1, 2 cards have a 2, 3 cards have a 3, and 4 cards have a 4. Ann will choose 1 card at random, and she will be awarded the number of points equal to the number written on the card. Let the random variable \(X\) represent the number of points Ann receives on any 1 draw. What is the expected value of \(X\) ?

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The expected value can be calculated by taking the sum of the products of value and probability.

$$ 1\left(\frac{1}{10}\right) + 2\left(\frac{2}{10}\right) + 3\left(\frac{3}{10}\right) + 4\left(\frac{4}{10}\right) $$ $$ = 0.1+0.4+0.9+1.6 $$ $$ = \boxed{3} $$