Five cards are on a table, and each has a number on one side and a letter on the other. Simone must decide whether the following statement is true: "If a card has a vowel on one side, then it has an even number on the other." What is the minimum number of cards she needs to turn over to make a correct decision?

![](https://cdn.mathpix.com/cropped/2024_05_01_30c9a294a58a6e4b8190g-017.jpg?height=125&width=503&top_left_y=1905&top_left_x=865)
Simone doesn't need to turn over the card that has the number $\mathbf{2}$ because the other side, whether a vowel or a consonant, will satisfy the condition "If a card has a vowel on one side, then it has an even number on the other."

![](https://cdn.mathpix.com/cropped/2024_05_01_30c9a294a58a6e4b8190g-070.jpg?height=140&width=580&top_left_y=1409&top_left_x=772)

She also doesn't need to turn over the card with the letter $\mathbf{M}$, since, on the other side, the number can be even or odd and the condition is still satisfied. However, the card with the number 3 needs to be turned over to verify that the other side has a consonant, as well as the cards with the letters $\mathbf{A}$ and $\mathbf{E}$, to verify that the other side has an even number. Therefore, Simone needs to turn over only 3 cards.