Beth draws pens randomly from a box containing 6 pens of the same shape and size. There is 1 green pen, 4 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

Luna Wade

17 July, 07:19

Beth draws pens randomly from a box containing 6 pens of the same shape and size. There is 1 green pen, 4 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.

+4

Answers (1)

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Collin Mitchell · Answer 1

the probability of drawing 1 red pen followed by another red pen is P;

P = 2/5 = 0.4

Step-by-step explanation:

Given;

Total number of pen = 6

Red = 4

Green = 1

Blue = 1

Find the probability of drawing 1 red pen followed by another red pen;

The probability of drawing the first red pen is

P1 = Nr/Nt = 4/6

Nr = number of red pen

Nt = total number of pen

The probability of drawing the second red pen is

P2 = (Nr-1) / (Nt-1) (reason: no replacement)

P2 = 3/5

the probability of drawing 1 red pen followed by another red pen is P;

P = P1 * P2 = 4/6 * 3/5 = 2/5

P = 2/5 = 0.4