Question

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

Answer 1

1/216

Explanation:

multiply 1/6 by 1/6 by 1/6 essentially

(1/6)^3

1/216

Answer 2

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%)