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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

$1 - \left(\frac{1}{2}\right)^n \geq 0.9 \Rightarrow \left(\frac{1}{2}\right)^n \leq 0.1$. $2^n \geq 10 \Rightarrow n \geq 4$.


Learning Progress: Step 33 of 48 in this series