Question

There are 105 lettered tiles in a board game. You choose thetiles shown (R, A, I, L, M, B, E). How many of the 105 tileswould you expect to be vowels?

Answer 1

105 ÷ 7 = 15 15 × 3 = 45 45 are vowels

Answer 2

Answer: 45

Step-by-step explanation:

Given: The total number of lettered tiles in a board game =105

The number of tiles chosen (R, A, I, L, M, B, E) = 7

the number of vowels chosen (A,I,E)=3

Now, the fraction or probability of choosing of vowels out of 7 given letters is given by :-

$\text{P(vowels)}=\frac{3}{7}$

Now, the number of vowels we can expect to be vowels out of 105 letters is given by :-

$\text{P(vowels)}\times\text{Total letters}=\frac{3}{7}\times105=45$

Hence, the number of vowels we can expect to be vowels out of 105 letters is 45.