Answer: [tex]\dfrac{16}{49}[/tex]
Step-by-step explanation:
Given: A bag contains 4 sour-apple candies and 3 watermelon candies.
Total candies = 4+3 = 7
If replacement of candy is done, then the probability of getting sour apple will be the same and independent each time .
Probability of selecting sour apple candy= [tex]\dfrac{\text{Number of sour apple candy}}{\text{Total}}[/tex]
[tex]=\dfrac47[/tex]
Now , the probability that both pieces of candy chosen will be sour -apple =[tex]\dfrac47\times\dfrac{4}{7}=\dfrac{16}{49}[/tex]
hence, required probability = [tex]\dfrac{16}{49}[/tex]