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Sagot :
Apply the binomial property,
On tossing a single coin
Probability of head = 1/2
Probability of tails = 1/2
Since the coin is tosses 6 times
Binomila expression for n = 6 and r = 6 is express as :
[tex]\begin{gathered} ^{}Probbailityof6tails=^nC_rp^rq^{n-r} \\ \text{ Probability of 6 tails = }^6C_6\frac{1}{2}^6\frac{1}{2}^{6-6} \\ \text{ Probability of 6 tails = }\frac{6!}{6!(6-6)!}_{}\frac{1}{2}^61 \\ \text{ Probability of 6 tails = 1}\frac{1}{2^6} \\ \text{ Probability of 6 tails = }\frac{1}{64} \\ \text{ Probability of 6 tails = }0.0156 \end{gathered}[/tex]probability of 6 tiles are 0 .0156
ANswer : probability of 6 tiles are 0 .0156
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