A fair coin is tossed three times. If it is known that atleast one head has occurred, the probability that atleast one tail has occurred, is equal to

Question

A fair coin is tossed three times. If it is known that atleast one head has occurred, the probability that atleast one tail has occurred, is equal to (A) (2/3) (B) (3/4) (C) (6/7) (D) (7/8)

Tardigrade Admin · Accepted Answer

n ( S )=7 ;[8- T TT ] ; E = THH text or THT =6 n ( E )=6 ⇒ p =(6/7)

Q. A fair coin is tossed three times. If it is known that atleast one head has occurred, the probability that atleast one tail has occurred, is equal to

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{6}{7}$

$\frac{7}{8}$

$n (S) = 7; [8 - {TTT}]; E = {T HH or T H T} = 6$
$n (E) = 6 \Rightarrow p = \frac{6}{7}$