A box has 6 beads of the same size, but all are different colors. Tania 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 Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again?

A. 1/216

B. 1/36

C. 1/6

D. 1/2

Question

Mathematics

Eleanor Martinez

7 January, 20:23

A box has 6 beads of the same size, but all are different colors. Tania 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 Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again?

A. 1/216

B. 1/36

C. 1/6

D. 1/2

+1

Answers (1)

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Carmen Austin · Answer 1

There are six beads of different colors, so the probability of picking any color is 1/6. Since she places the beads back in, each pick for a specific colors is still 1/6. She does this three times in a row so the probability of picking 3 different colors in three picks is:

(1/6) ^3

(1/6) (1/6) (1/6)

1/216 (0.463%)