The five cards below are on a table, and each one 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 decide correctly?

![](https://cdn.mathpix.com/cropped/2024_05_01_ca9dad428f17f021dd49g-2.jpg?height=172&width=708&top_left_y=1987&top_left_x=794)

## Solutions from List 3
![](https://cdn.mathpix.com/cropped/2024_05_01_ca9dad428f17f021dd49g-7.jpg?height=169&width=690&top_left_y=1389&top_left_x=700)

She does not need to turn over the card with the number 2, because whether it is a vowel or a consonant, it meets the condition in the same way. She also does not need to turn over the card with the letter M. The card with the number 3 must be turned over to verify that the other side has a consonant, and the cards with the letters **A** and **E** must be turned over to check that the numbers on the other side are even. Therefore, she only needs to turn over 3 cards.