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?
#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
