Chapter 13, Problem 36SGA

To determine

To find: The each pair of events is independent or dependent. And hence find the probability.

Answer to Problem 36SGA

The probability of picking two yellow marker from the box is $\frac{2}{15}$ .

Explanation of Solution

Given:

The given events: randomly selecting two yellow markers from a box that contains four yellow and six pink markers.

Calculation:

These two events are dependent events, because one event dot affect the happening of the other.

After picking a marker, to get the second marker without replacement of the first marker, it affected by the first marker, so these events are dependent.

The probability of getting two yellow markers is calculated as:

  $\begin{array}{c}P\left(\text{Yellow marker,Yellow marker}\right)=\frac{4}{10}\cdot \frac{3}{9}\\ =\frac{2}{15}\end{array}$

Therefore the probability of picking two yellow marker from the box is $\frac{2}{15}$ .