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Answer :
To find the probability of picking a pen that is either red or blue from the box, we need to understand the basic principles of probability.
Probability is calculated by taking the number of favorable outcomes and dividing it by the total number of possible outcomes.
Step-by-step explanation:
Determine the total number of pens in the box:
There are 6 red pens, 3 blue pens, and 1 black pen.
Total number of pens = 6 (red) + 3 (blue) + 1 (black) = 10 pens.
Identify the favorable outcomes:
Favorable outcomes are picking a red or blue pen.
Number of red pens = 6 and blue pens = 3.
Total favorable outcomes = 6 (red) + 3 (blue) = 9.
Calculate the probability:
Probability of picking a red or blue pen = [tex]\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}[/tex].
Probability = [tex]\frac{9}{10}[/tex].
Therefore, the probability that a student randomly picks a pen that is either red or blue is [tex]\frac{9}{10}[/tex].
Thus, the correct option is A. 9/10.
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Rewritten by : Brahmana