Q. A coin is tossed 4 times. The probability that at least one head turns up, is
A) $\frac{1}{16}$
B) $\frac{2}{16}$
C) $\frac{14}{16}$
D) $\frac{15}{16}$
Explanation
(d)
The probability of getting head and tail in one toss is $\frac{1}{2}$.
$P$ (atleast one $H) = 1 - P\$(no head in four toss)
$= 1 - P$ (four tails)
$= 1 - \left( \frac{1}{2} \right)^{4} = 1 - \frac{1}{16} = \frac{15}{16}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.