Answer:
1/10.
Step-by-step explanation:
When solving probability, we first need to know the total number of all items. We have 5 quarters, 2 nickels and 3 dimes.
This gives us:
5 + 3 + 2 = 10 total coins
Now we take the number of Quarters:
[tex]\dfrac{5}{10}[/tex]
The chances of drawing a quarter in the first draw will be [tex]\dfrac{5}{10}[/tex].
Now we solve for the Nickels:
[tex]\dfrac{2}{10}[/tex]
The chances of drawing a quarter in the second draw will be [tex]\dfrac{2}{10}[/tex].
Now we have to multiply both probabilities together to find the probability of drawing a Quarter and then a Nickel.
[tex]\dfrac{5}{10}*\dfrac{2}{10}=\dfrac{10}{100}[/tex] or [tex]\dfrac{1}{10}[/tex]
