JEE PYQ: Probability Question 36
Question 36 - 2019 (10 Apr Shift 2)
Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than 99% is:
(1) 5
(2) 6
(3) 8
(4) 7
Show Answer
Answer: (4)
Solution
$1 - \left(\frac{1}{2}\right)^n > 0.99 \Rightarrow \left(\frac{1}{2}\right)^n < 0.01 \Rightarrow 2^n > 100 \Rightarrow n \geq 7$.