Question

Suppose you keep a jar of change on your desk. Currently the jar contains the following. What is the probability that you reach into the jar and randomly grab a nickel and then without replacement a penny? Express your answer as a fraction or a decimal number rounded to four decimal places

Answer 1

19/276

Explanation:

The first thing is to calculate the total number of coins:

`17+10+19+23=69`

The probability in this case will be the product between the probability of each event, the probability of each event would be the number of favorable cases divided by the total number of coins, therefore:

`\begin{gathered} P(\text{nickel})=(19)/(69) \\ \\ P(\text{penny})=(17)/(68) \\ \\ \text{ Therefore:} \\ \\ P=(19)/(69)*(17)/(68) \\ \\ P=(19)/(276) \end{gathered}`

Therefore, the probability in this case is 19/276