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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?

Respuesta :

Answer:

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)

[tex]=\frac{10}{25}\times \frac{15}{24}=\frac{150}{600}=\frac{1}{4}=0.25[/tex]

MrRoyal

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:

[tex]Pen = 10[/tex]

[tex]Pencil = 15[/tex]

The total number of items in the box is:

[tex]Box = 10 + 15[/tex]

[tex]Box = 25[/tex]

The required probability is then calculated as:

P = P(Pen) * P(Pencil)

So, we have:

[tex]P =\frac{10}{25} \times \frac{15}{24}[/tex]

Evaluate the product

[tex]P =\frac{150}{600}[/tex]

Simplify

[tex]P =\frac{1}{4}[/tex]

Hence, the required probability is 1/4

Read more about probabilities at:

https://brainly.com/question/15246027

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