Barbara draws pens randomly from a box containing 5 pens of the same shape and size. There is 1 green pen, 3 red pens, and 1 blue pen. She draws 1 red pen and then another red pen without replacing the first one. Find the probability of drawing 1 red pen followed by another red pen, and show the equation used.

Question

Mathematics

Nevaeh Calhoun

9 March, 00:28

Barbara draws pens randomly from a box containing 5 pens of the same shape and size. There is 1 green pen, 3 red pens, and 1 blue pen. She draws 1 red pen and then another red pen without replacing the first one. Find the probability of drawing 1 red pen followed by another red pen, and show the equation used.

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Answers (1)

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Jazmyn Stone · Answer 1

The contidion lets to establish that the events are independent.

Probability is the number of positive results / number of total events

The probability of drawing the first red pen is 3/5.

The probability of drawing the second red pen is 2/4

The combined propability is (3/5) * (2/4) = 6/20 = 3/10 = 0.30