SOLUTION: A bag contains 10 beads -- 2 black, 3 white, and 5 red. A bead is selected at random. The probability of selecting three red beads without replacing them is ____. Please provide a

Algebra ->  Permutations -> SOLUTION: A bag contains 10 beads -- 2 black, 3 white, and 5 red. A bead is selected at random. The probability of selecting three red beads without replacing them is ____. Please provide a      Log On


   

Question 1161760: A bag contains 10 beads -- 2 black, 3 white, and 5 red. A bead is selected at random. The probability of selecting three red beads without replacing them is ____. Please provide an explanation for the answer.
Multiple choice answers:
0.167
0.125
0.083
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

total 10
2 black, 3 white, and 5 red
The probability of selecting three+red beads without replacemen:

to choose one red bead :5%2F10=1%2F2
After the first bead is drawn, there are 2 black, 3+white, and+4+red beads in the bag, total 9
The probability of drawing a second red bead is 4%2F9.
After the second bead is drawn, there are 2 black, 3 white, and 3 red beads in the bag, total 8
The probability of drawing a thirdred bead is 3%2F8.
then the probability of selecting three red beads is:
+%281%2F2%29%284%2F9%29%283%2F8%29=1%2F12=0.08333333333333333

so, answer is 0.083