There are 10 pens and 15 pencils in a box. If a student selects two of them at random,
then what is the probability of selecting a pen and then a pencil?

Probabilities are used to determine the chances of events

The probability of selecting a pen and then a pencil is 1/4

The samples are given as:

The total number of items in the box is:

The required probability is then calculated as:

P = P(Pen) * P(Pencil)

So, we have:

Evaluate the product

Simplify

Hence, the required probability is 1/4

Read more about probabilities at:

link

0.25

Step-by-step explanation:

Given:

Number of pens in a box = 10

Number of pencils in a box = 15

To find: probability of selecting a pen and then a pencil

Solution:

Probability refers to the chance of occurring of some event.

Probability of selecting a pen and then a pencil = (Probability of selecting a pen) × (Probability of selecting a pencil given that a pen has already been drawn)

75%

step-by-step explanation: