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timama [110]
3 years ago
5

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.
Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

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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