Q51. - Algebra 1

Question

One coin is randomly selected from a jar containing 20 pennies, 15 nickels, 3 dimes, and 12 quarters. Find the odds of each outcome. Write in simplest form.

A penny or nickel

Step-by-Step Solution

Answer

The probability of selecting one penny from jar is 0.7.

Step 1. Formula used.

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

Step 2. Total numbers of coins.

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

Step 2. Total numbers of penny and nickel coins.

$\begin{array}{l}P\left(E\right)=20+15\\ P\left(E\right)=35\end{array}$

Step 3. Calculate the probability of selecting one penny from jar.

$\begin{array}{l}\text{Probability }P=\frac{\text{Total number of penny coin }\left(PE\right)}{\text{Total number of coin }\left(TE\right)}\\ \text{Probability }P=\frac{35}{50}\\ P=0.7\end{array}$

Therefore, the probability of selecting one penny from jar is 0.7.