Chapter 13.6, Problem 1CYP

To determine

To calculate: To find the probability of choosing a while marble and express the answer in fraction and in percent

Answer to Problem 1CYP

Theprobability of choosing a white marble is $\frac{1}{4}$

Explanation of Solution

Given information: There are $3$ white marbles, $4$ blue marbles and $5$ green marbles

Formula Used:

Probability is defined as the likelihood of an event.

Probability is calculated as

  $\mathrm{Probability}=\frac{Event}{Outcomes}$

Calculation:

Given that there are $3$ white marbles, $4$ blue marbles and $5$ green marbles

Number of elements in sample space $=3+4+5=12$

Number of while marbles $=3$

Thus, probability of choosing white marble is calculated as

  $\begin{array}{l}P\left(whitemarble\right)=\frac{3}{12}\\ P\left(whitemarble\right)=\frac{1}{4}\end{array}$

Conclusion:

Hence, $P\left(whitemarble\right)=\frac{1}{4}$