Chapter 0, Problem 70PO

To determine

The probability of finding a coin less than 0.1 dollars from the jar.

Answer to Problem 70PO

  $P=0.7$

Explanation of Solution

Given:

Penny coin = 20

Nickel coin = 15

Dim coin = 3

Quarter coin = 12

Formula used:

Probability (P) = $\frac{\text{Possible event}\left(PE\right)}{\text{Total event}\left(TE\right)}$

Calculation:

Total number of coins,

  $\begin{array}{l}TE=20+15+3+12\\ TE=50\end{array}$

1 Penny coin = 0.01 dollars

1 Nickel coin = 0.05 dollars

1 Dime coin = 0.1 dollars

1 Quarter coin = 0.25 dollars

Total coins which are less than 0.25 dollars,

  $\begin{array}{l}PE=20+15\\ PE=35\end{array}$

By the probability formula,

  $\begin{array}{l}P=\frac{PE}{TE}\\ P=\frac{35}{50}\\ P=0.7\end{array}$

Conclusion:

Hence, the probability of finding a coin less than 0.1 dollars from the jar is 0.7.