Question

If you flip a coin 6 times, what is the probability that all six will turn up tails?

Answer 1

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 :

`\begin{gathered} ^{}Probbailityof6tails=^nC_rp^rq^(n-r) \\ \text{ Probability of 6 tails = }^6C_6(1)/(2)^6(1)/(2)^(6-6) \\ \text{ Probability of 6 tails = }(6!)/(6!(6-6)!)_{}(1)/(2)^61 \\ \text{ Probability of 6 tails = 1}(1)/(2^6) \\ \text{ Probability of 6 tails = }(1)/(64) \\ \text{ Probability of 6 tails = }0.0156 \end{gathered}`

probability of 6 tiles are 0 .0156

ANswer : probability of 6 tiles are 0 .0156