If you put 21 consonants and 5 vowels in a bag. What would carry greater probability?

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.

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