High School

Welcome to the article A drawer contains 12 red pens 5 blue pens 3 black pens 31 silver paper clips and 27 white paper clips If you randomly select. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!

A drawer contains 12 red pens, 5 blue pens, 3 black pens, 31 silver paper clips, and 27 white paper clips.

If you randomly select a pen and a paper clip from the drawer, what is the probability that you select a red pen and a white paper clip?

Answer :

To find the probability of selecting a red pen and a white paper clip, calculate the probability of each event separately and multiply them. The probability of selecting a red pen and a white paper clip is 81/290. Remember, these events are independent.

Probability of Selecting a Red Pen and a White Paper Clip

A student has asked: 'A drawer contains 12 red pens, 5 blue pens, 3 black pens, 31 silver paper clips, and 27 white paper clips. If you randomly select a pen and paper clip from the drawer, what is the probability that you select a red pen and a white paper clip?'

Here's how to calculate it:

  1. Total number of pens in the drawer = 12 red + 5 blue + 3 black = 20 pens.
  2. Total number of paper clips = 31 silver + 27 white = 58 paper clips.
  3. The probability of selecting a red pen is the number of red pens divided by the total number of pens:

P(Red Pen) = 12 / 20 = 3 / 5

  1. The probability of selecting a white paper clip is the number of white paper clips divided by the total number of paper clips:

P(White Paper Clip) = 27 / 58

  1. Since the selection of the pen and the paper clip are independent events, we can find the combined probability by multiplying the individual probabilities:

P(Red Pen and White Paper Clip) = (3 / 5) × (27 / 58) = 81 / 290

Therefore, the probability of selecting a red pen and a white paper clip is 81/290.

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Rewritten by : Brahmana