A box contains 5 red, 2 pink and 3 blue beads. Two beads are chosen at random without replacement. What is the probability that the beads are different colours?

Guest Apr 1, 2020

#1**0 **

#1) probability that the beads are different colors = 1(all probabilities) - (probability that the beads are the same colored)

#2) (probability that the beads are the same colored) = (probability that there will be 2 red beads) + (probability that there will be 2 pink beads) + (probability that there will be 2 blue beads)

#3) (probability that there will be 2 red beads) = (5/10) * (4/10) = 0.2

#4) (probability that there will be 2 pink beads) = (2/10) * (1/10) = 0.02

#5) (probability that there will be 2 blue beads) = (3/10) * (2/10) = 0.06

#6) (probability that the beads are the same colored) = 0.2 + 0.02 + 0.06 = 0.28

#7) probability that the beads are different colors = 1 - 0.28 = 0.72

#8) Answer = 0.72

Guest Apr 1, 2020