Each of three coins has been painted on its two sides. The first coin is red on one side and blue on the other. The second coin is blue on one side and green on the other. The third coin is green on one side and red on the other. If the three coins are tossed in the air, what is the probability that all three colors will appear face up when they land?
+23252 First coin: R/B Second coin: B/G Third coin: G/R
We can list all the possible outcomes for first coin - second coin - third coin:
R - B - G *
R - B - R
R - G - G
R - B - R
B - B - G
B - B - R
B - G - G
B - G - R *
There are 2 successes in 8 possibilities: probability = 2/8 = 1/4
