Chapter 9.2, Problem 38STP

To determine

To find: The probability of getting $2$ white marble.

Answer to Problem 38STP

The probability of getting $2$ white marble is $\frac{1}{11}$ .

Explanation of Solution

Given information:

Given that a bag contains $5$ red marbles, $2$ blue marble, $4$ white marble, and $1$ yellow marble.

And $2$ marble are chosen in a row.

Calculation:

The total number of marbles

Adding the marble

  $\begin{array}{c}\text{Marbles}=5+2+4+1\\ =12\end{array}$

Probability is the number of positive outcome divided by the total number of possible outcomes.

Positive outcome is choosing a white marble, four white marbles out of $12$ total marble.

  $=\frac{4}{12}$

Probability for the second marble out of $11$ total marble and first marble was white.

  $=\frac{3}{11}$

The probability for both the events occurring

  $\begin{array}{l}=\frac{4}{12}.\frac{3}{11}\\ =\frac{12}{132}\\ =\frac{1}{11}\end{array}$

The probability of getting $2$ white marble is $\frac{1}{11}$ .