Question

There are five quarters to nickels and three dimes in a jar one point is randomly drawn replaced and another coin is drawn what is the probability of getting a quarter and then a nickel

1/10
1/9
3/20
7/10
​

Answer 1

1/10.

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:

`(5)/(10)`

The chances of drawing a quarter in the first draw will be
`(5)/(10)`.

Now we solve for the Nickels:

`(2)/(10)`

The chances of drawing a quarter in the second draw will be
`(2)/(10)`.

Now we have to multiply both probabilities together to find the probability of drawing a Quarter and then a Nickel.

`(5)/(10)*(2)/(10)=(10)/(100)` or
`(1)/(10)`