Two letters are randomly picked for the word INFINITESSIMAL. If a letter can be used more than once, calculate the probability that both letters selected are vowels given that the first letter is a vowel.

Question

anonymous · Answer

probability that first letter picked is a vowel is
$$\frac{6}{14}$$
so the probability that the next letter picked is a vowel is still $$\frac{6}{14}$$
multiply those to get the probability that both letters are vowels, which is $$\frac{9}{49}\approx0.183673469388$$

anonymous · Answer

the answer is 5/13 lol:)

anonymous · Answer

5/13? how come?

anonymous · Answer

because it isn't just asking about the probability of two vowels. its asking the probability of getting two vowels given that the first letter is a vowel.

anonymous · Answer

you see theres a formula for it

anonymous · Answer

yes, but a letter can be used more than once.

anonymous · Answer

yes i know.

anonymous · Answer

what  i did was a bit different

anonymous · Answer

in that case, the probability would be $$\frac{6}{14}$$

anonymous · Answer

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