Question

A coin is tossed until a head appears or until the coin has been tossed five times. If a head does not occur on the first two tosses, then the probability that the coin will be tossed 5 times is

• A. $\frac { 1 } { 2 }$
• B. $\frac { 3 } { 5 }$
• C. $\frac { 1 } { 4 }$
• D. $\frac { 1 } { 3 }$

Answer 1

Answer: (C)

$\frac { 1 } { 4 }$

Answer 2

$P$ (tail in 3^rd) .$P$(tail in 4^th) $= \frac { 1 } { 2 } \cdot \frac { 1 } { 2 } = \frac { 1 } { 4 }$.