Tossing of a coin

Probability Level 2

A fair coin is tossed three times, what is the probability that no two succesive tosses show the same face?

2 5 \dfrac{2}{5} 1 4 \dfrac{1}{4} 1 2 \dfrac{1}{2} 3 8 \dfrac{3}{8}

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1 solution

Consider the diagram above.

P = s u c c e s f u l o u t c o m e s p o s s i b l e o u t c o m e s P=\dfrac{succesful~outcomes}{possible~outcomes}

P = 2 8 = P=\dfrac{2}{8}= 1 4 \boxed{\dfrac{1}{4}}

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