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There are 42 chocolates in a​ box, all identically shaped. There 13 are filled with​ nuts, 15 with​ caramel, and 14 are solid chocolate. Someone randomly selects one​ piece, eats​ it, and then selects a second piece. Find the probability of selecting 2 nut candies. Express your answer as a simplified fraction.

Answer :

Answer: The required probability is [tex]\dfrac{169}{1764}[/tex]

Step-by-step explanation:

Since we have given that

Number of chocolates = 42

Number of chocolates filled with nuts = 13

Number of chocolates filled with caramel = 15

Number of chocolates filled with solid chocolate = 14

Probability of selecting 2 nut candies would be

[tex](\dfrac{13}{42})^2\\\\=\dfrac{169}{1764}[/tex]

Hence, the required probability is [tex]\dfrac{169}{1764}[/tex]

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