Question

If you put 21 consonants and 5 vowels in a bag. What would carry greater probability? Getting a consonant or a vowel? Find each probability. 

Answer 1

\[\text{ Number of consonants }= 21\]
\[\text{ Number of vowels }= 5\]
\[\text{ Total number of possible outcomes } = 21 + 5 = 26\]
\[\text{ Let C be the event of getting a consonant and V be the event of getting a vowel }. \]
\[ \therefore P\left( C \right) = \frac{\text{ Number of favourable outcomes }}{\text{ Total number of outcomes }} = \frac{21}{26}\]
\[And, P\left( V \right) = \frac{\text{ Number of favourable outcomes }}{\text{Total number of outcomes }} = \frac{5}{26}\]
\[\text{ Thus, the consonants have a greater probability } .\]