JEE PYQ: Probability Question 33
Question 33 - 2019 (08 Apr Shift 2)
The minimum number of times one has to toss a fair coin so that the probability of observing at least one head is at least 90% is:
(1) 5
(2) 3
(3) 4
(4) 2
Show Answer
Answer: (3)
Solution
$1 - \left(\frac{1}{2}\right)^n \geq 0.9 \Rightarrow \left(\frac{1}{2}\right)^n \leq 0.1$. $2^n \geq 10 \Rightarrow n \geq 4$.