A box has 5 beads of the same size, but all are different colors. Tina draws a bead randomly from the box, notes its color, and then puts the bead back in the box. She repeats this 3 times. What is the probability that Tina would pick a red bead on the first draw, then a green bead, and finally a red bead again?

Question

Mathematics

Ferris

9 December, 11:56

A box has 5 beads of the same size, but all are different colors. Tina draws a bead randomly from the box, notes its color, and then puts the bead back in the box. She repeats this 3 times. What is the probability that Tina would pick a red bead on the first draw, then a green bead, and finally a red bead again?

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Eve Terrell · Answer 1

Probability of picking red on first draw = 1/5

but then the bead is put back

probability of picking green = 1/5

but then the bead is put back

probability of picking red again = 1/5

1/5 * 1/5 * 1/5 = 1/125 <===