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gemma.....

Guys, is there anyone there that can do this question!

ABSTEMIOUS is arranged at random, find the probability that the vowels and consonants appear alternately!

I can't think how to do it.

ABSTEMIOUS is arranged at random, find the probability that the vowels and consonants appear alternately!

I can't think how to do it.

Alright..........

<this is for my benefit>

Vowels: - AEIOU

Consonants: - BSTMS

So you could have (V=vowel and C=consonant)

VCVCVCVCVC OR CVCVCVCVCV

chances of picking a vowel = 1/2

chances of then picking a consonant = 5/9

chances of then picking a vowel = 4/8 = 1/2

chances of then picking a consonant = 4/7

chances of then picking a vowel = 3/6 = 1/2

chances of then picking a consonant = 3/5

chances of then picking a vowel = 2/4 = 1/2

chances of then picking a consonant =2/3

chances of then picking a vowel= 1/2

chances of then picking a consonant = 1

multiply all those probabilities together then multiply that by 2 (coz you could either start with a VCVC... or CVCV...)

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