Q48. - Algebra 1

Question

One pencil is randomly selected from a case containing 3 red, 4 green, 2 black, and 6 blue pencils. Find each probability.

$P\left(\text{red or blue}\right)$

Step-by-Step Solution

Answer

The probability is $P=0.6$.

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 pencils in case.

$\begin{array}{l}TE=3+4+2+6\\ TE=15\end{array}$

Step 3. A total number of the pencil of blue or red.

$\begin{array}{l}PE=6+3\\ PE=9\end{array}$

Step 4. Calculate the probability of a green pencil when randomly selected.

$\begin{array}{l}\text{Probability }P=\frac{\text{Total green pencil }\left(PE\right)}{\text{Total number of pencil }\left(TE\right)}\\ \text{Probability }P=\frac{9}{15}\\ P=0.6\end{array}$

Therefore, the probability of one red or blue pencil when randomly selected from the case. $P=0.6$