\magnification=\magstep2

$$
(1 - P)*(1 - P) \quad = \quad (1 - P)^2
$$

$$
(1 - P)^N
$$

$$
(1 - 0.000046)^N = 0.50
$$

$$
{\rm Prob\ of\ N\ successive\ heads} \quad = \quad \left ( {{1}\over{2}} \right )^N \quad = \quad {0.5}^{N} 
$$

$$
{\rm Number\ of\ streaks\ of\ length} \geq N  \quad = 
            \quad K \thinspace*\thinspace 10^{-0.109 N} 
$$

$$
  10^{-0.109*1} \quad = \quad 0.778
$$

$$
  10^{-0.109*5} \quad = \quad 0.285
$$

$$
{\chi^2} \quad = \quad { { {(R - S)}^2 } \over {R + S} }
$$

$$
{\chi^2} \quad = \quad \sum_i { { {(R_i- S_i)}^2 } \over {R_i + S_i} }
$$


\bye

