Middle School

Welcome to the article Cedric has 1 red pen 1 blue pen and 1 black pen in his desk If he randomly takes two of them from his desk. 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!

Cedric has 1 red pen, 1 blue pen, and 1 black pen in his desk. If he randomly takes two of them from his desk without replacement, what is the probability that he will take the blue and black pen?

Answer :

Answer:

Probability that Cedric will take the blue and black pen is [tex]\frac{1}{3}[/tex].

Step-by-step explanation:

Total No of pen on Desk = 3

Without replacement means each time next pen is drawn the total no of pen decreases by 1.

So, Probability of Drawing a blue and black pen

= P(Blue) × P(Black) + P(Black) × P(Blue)

= [tex]\frac{1}{3}\times\frac{1}{2}+\frac{1}{3}\times\frac{1}{2}[/tex]

= [tex]2\times\frac{1}{6}[/tex]

= [tex]\frac{1}{3}[/tex]

Therefore, Probability that Cedric will take the blue and black pen is [tex]\frac{1}{3}[/tex].

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Rewritten by : Brahmana

there is a one third chance of that happening (1/3)