Question

A fair coin is tossed N times. The probability that head does not turn up in any of the tosses is

• A. ${\left(\frac{1}{2}\right)}^{N-1}$
• B. $-{\left(\frac{1}{2}\right)}^{N-1}$
• C. ${\left(\frac{1}{2}\right)}^N$
• D. $1-{\left(\frac{1}{2}\right)}^N$

Answer 1

The correct option is C ${\left(\frac{1}{2}\right)}^N$

Req. Prob = P (All Tail)
= P (TTTT ..... T) (N times)

$={\left(\frac{1}{2}\right)}^N$