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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

$1 - \left(\frac{1}{2}\right)^n > 0.99 \Rightarrow \left(\frac{1}{2}\right)^n < 0.01 \Rightarrow 2^n > 100 \Rightarrow n \geq 7$.


Learning Progress: Step 36 of 48 in this series