Chapter 0, Problem 56PRT

To determine

To find: the probability of redor blue pencil in the given conditions.

Answer to Problem 56PRT

  $P\left(\text{red}\text{or}\text{blue}\right)=\frac{3}{5}$ .

Explanation of Solution

Given:

The given condition is:

One pencil is randomly selected from 3 red, 4 green, 2 black, and 6 blue pencils.

Concept used:

Probability of the events is given by

  $P\left(E\right)=\frac{\text{Number of possible outcomes}}{\text{Total number of possible outcomes}}$

Calculation:

According to the question, total number of outcomes is $3+4+2+6=15\text{pencils}$ .

number of red pencils is 3 pencil and number of bluepencils is 6 pencil.

Therefore, the probability of redor blue pencil is $P\left(\text{red}\text{or}\text{blue}\right)=\frac{6+3}{\text{15}}=\frac{9}{15}=\frac{3}{5}$

Hence, the probability of green pencil is $P\left(\text{red}\text{or}\text{blue}\right)=\frac{3}{5}$ .