If both chocolates are the same flavour, what is the probability that they are both raspberry? Give your answer as a fraction in its simplest form.
First chocolate
Second chocolate
\(\boxed{\frac{9}{38}}\) is the probability that both chocolates are raspberry
Step 1 :Find the probability of both chocolates being raspberry: Probability = \(\frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ possible \ outcomes}\)
Step 2 :Calculate the probability: \(\frac{10}{20} \times \frac{9}{19} = \frac{90}{380}\)
Step 3 :Simplify the fraction: \(\frac{90}{380} = \frac{9}{38}\)
Step 4 :\(\boxed{\frac{9}{38}}\) is the probability that both chocolates are raspberry