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Welcome to the article There are 5 red pens 3 blue pens and 2 green pens in a box Ziyad takes a pen at random from the box and. 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!

There are 5 red pens, 3 blue pens, and 2 green pens in a box. Ziyad takes a pen at random from the box and gives it to his friend, Tamer. Ziyad then randomly takes another pen from the box.

Work out the probability that both pens are the same color.

Answer :

Answer: 14/45

Step-by-step explanation:

Assuming that there is no replacements:

The probability of both pens being red will be represented by P(r), and P(b) and P(g) will represents both being blue and green respectively

P(r) = 5/10 x 4/9 = 2/9

P(b) = 3/10 x 2/9 = 1/15

P(g) = 2/10 x 1/9 = 1/45

Now take all 3 probabilities and add them all together to find the probability that any 2 pen will be the same color

P = P(r) + P(b) + P(g)

P = 2/9 + 1/15 + 1/14

P = 14/45

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Rewritten by : Brahmana