cynara has a bag of red, blue, and black pens. She randomly selects a pen, records the color, and puts it back in the bag, She d

Question

2 months ago

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cynara has a bag of red, blue, and black pens. She randomly selects a pen, records the color, and puts it back in the bag, She d

oes this a total of 30 times and selects 6 red pens, 10 blue pens, and 14 black pens. Based on this information, what is the probability that Cynara will select a blue pen, return it to the bag, and then select a red pen?

Mathematics

1 answer:

lawyer [12.5K] · Answer 1 · 2026-02-17T21:47:58+03:00

Calculate the probability of each pen color by dividing the number of times each color was chosen by the total selections:

Red pens: 6 out of 30, which simplifies to 1/5

Blue pens: 10 out of 30, which simplifies to 1/3

Black pens: 14 out of 30, which simplifies to 7/15

To find the likelihood of first selecting a blue pen and then a red pen, multiply their individual probabilities:

(1/3) × (1/5) = 1/15

The resulting probability is 1/15.