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