Question

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following:

13 Pennies 15 Dimes
29 Nickels 26 Quarters

What is the probability that you reach into the jar and randomly grab a dime and then, without replacement, a nickel?

Answer 1

Answer:

The probability is 435/6,806

Step-by-step explanation:

Firstly, the total number of coins in the jar is

13 + 15 + 29 + 26 = 83

The probability of selecting a dime is 15/83

Now we want to grab a nickel

Since we already selected a dime and we did not replace it, the number of total coins in the jar will be 83-1 = 82

So the probability of selecting a nickel this time is

29/82

So the total probability of the event in the described order is;

15/83 * 29/82

= 435/6,806