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.
