There are 5 red pens, 3 blue pens and 2 green pens in a box. Ziyad takes at random a pen from the box and gives the pen to his f
riend, Tamer. Ziyad then randomly takes another pen from the box. Work out the probability that both pens are the same color.
1 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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<em>Hope that helps!</em>
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