## anonymous one year ago A box has 8 beads of the same size, but all are different colors. Tamy 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 Tamy would pick a red bead on the first draw, then a white bead, and finally a red bead again? 1 over 4096 1 over 512 1 over 64 1 over 8

1. misty1212

she puts them back each time right?

2. anonymous

yes

3. misty1212

and the beads are all different colors, so 8 different colors the probability of any one color is therefore $$\frac{1}{8}$$

4. misty1212

that is not the final answer though

5. anonymous

oh ok

6. misty1212

do it 3 times in a row, the probability of red, white, red is$\frac{1}{8}\times \frac{1}{8}\times \frac{1}{8}$

7. misty1212

use a calculator to compute $8^3$ then put it in the denominator

8. anonymous

ok...i got 512 when i multiplied that so now what? @misty1212

9. anonymous

oh so is my answer 1/512 @misty1212

10. misty1212

yes dear that is right

11. anonymous

thank you! ^_^