SOLUTION: A bag contains 12 red pens, 12 blue pens, and 12 green pens. What is the probability of drawing two pens of the same color in the row? thank you for your help

Question 1079030: A bag contains 12 red pens, 12 blue pens, and 12 green pens. What is the probability of drawing two pens of the same color in the row?
thank you for your help
Answer by natolino_2017(77) (Show Source): You can put this solution on YOUR website!
P(Drawing two pens of the zame color)= P(Drawing two red pens or Drawing two blue pens or Drawing two green pens)= 3*P(Drawing two red pens)=
3*(12/36*11/35)=11/1260= 0.00873=8.73%.
When you have options you must add this probabilities,as every option has the same probability, you multiply one of them by 3.
In your first drawing you have 12 red pens and 36 pens. so the Probability is 12/36. on your second drawing, you have 11 red pens and 35 pens, so the probabiliy is 11/35. You need that both drawing been simultaneous. So you multiply this two results.
@natolino_
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