The predicted number of times a consonant will not be could be picked is 58 times.
The total number English alphabets = 26
Number of non consonant letters = 5
The probability of choosing a non-consonant letter at random from a single pick :
Number of non- consonant letters / total number of alphabets = 5 /26
To predict the number of times a non-consonant letter could be selected from 300 selections :
(Number of selections × probability per pick)
(300 × 5/26)
= 57.69
= 58 times
A non- consonant could be selected approximately 58 times.
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