You have just created India$$s first AI language model ChaatGPT after intensive training on

a corpus of Indian food data. In response to the prompt $$Suggest some tasty Indian food

to eat today$,$ the model$$s output is the string:

$$ nothing $($i$.$e$.,$ the empty string $)$ with probability $0\mathrm{.}1$

$$dahi$$ with probability $0\mathrm{.}2$

$$dahipuri$$ with probability $0\mathrm{.}15$

$$samosa$$ with probability $0\mathrm{.}3$

$$samosachaat$$ with probability $0\mathrm{.}2$

$$dahisamosachaat$$ with probability $0\mathrm{.}05$

$($a$)(2$ points$)$ Given that the model$$s output contains the string $$samosa$,$ what is the

probability that the output contains the string $$chaat$?$