Answer: The answer is 11.69%.
Step-by-step explanation: Given that there is a bag full of coins, in which
Number of pennies = 5,
number of nickels = 10
and number of dimes = 4.
Therefore, total number of coins in the bag = 5 + 10 + 4 =19.
According to the question, first we draw a nickel, so probability will be
[tex]p_1=\dfrac{10}{19},[/tex]
and then, without replacement, we draw a dime, so probability will be
[tex]p_2=\dfrac{4}{18}.[/tex]
So, the required probability will be
[tex]p=p_1\times p_2=\dfrac{10}{19}\times \dfrac{4}{18}=0.1169=11.69\%.[/tex]
Thus, the probability is 11.69%.
