The probability that choosing a consonant then a vowel from the bag after replacement is 35/144.
What is probability?
"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".
For the given situation,
The bag consists of letters 21 vowels and 15 consonants.
Total number of letters = 36
The event is the probability that choosing a consonant then a vowel from the bag after replacement.
Probability of choosing a consonant = \(\frac{15}{36}\)
Probability of choosing a vowel = \(\frac{21}{36}\)
Thus the probability of the event,
\(P(e) = \frac{15}{36}\) × \(\frac{21}{36}\)
⇒ \(P(e)=\frac{35}{144}\)
Hence we can conclude that the probability that choosing a consonant then a vowel from the bag after replacement is 35/144.
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