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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?

 Apr 1, 2020
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#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

 Apr 1, 2020

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