Question

Bill empties his jar of coins onto the floor. If the probability of all the coins landing on tails is 1/64, then what is the best answer for how many coins Bill has?

Answer 1

Each coin has a 1/2 chance to land on tails. The probability for all of them landing on tails is:
\[P_1(tails) \times P_2(tails) \times ... \times P_n(tails)\]\[=\frac{1}{2} \times\frac{1}{2} \times ... \times \frac{1}{2} = (\frac{1}{2})^n\]

Where n is the number of coins. So if the probability is \(\frac{1}{64}\) then we have that
\[(\frac{1}{2})^n = \frac{1}{64}\]

So what is n?

Answer 2

i dont know what is n

Answer 3

Did you try it yet?

Answer 4

yes i got it

Answer 5

What did you get?