5. Bananagrams is a word game played with 144 tiles.You choose the tiles shown. i) How many of the 144 tiles would you expect to be vowels?

## Step 1: Calculate the proportion of vowels in the selection.<br />### There are 12 tiles selected. The vowels are A, E, I, O, U. Count the number of vowels in the selection: A (2), E (1), I (1), O (1), U (1). Total vowels: 2 + 1 + 1 + 1 + 1 = 6. The proportion of vowels is $\frac{6}{12} = \frac{1}{2}$.<br /><br />## Step 2: Calculate the expected number of vowels in the full set.<br />### Multiply the total number of tiles (144) by the proportion of vowels ($\frac{1}{2}$): $144 \times \frac{1}{2} = 72$.