Probability: Minimum number of times a fair coin must be tossed so that the… | JEE Main 2019 | Yukti Vault

Yukti Vault

JEE Main 2019 (Online) 10th April Evening ShiftQuestion 1

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 :

Probability

$8$$6$$5$$7$✓ Correct answer

Solution

$1-2^{-n}>0.99\Rightarrow 2^n>100\Rightarrow n\ge7$.

More from Probability

There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in…
A box contains 2 fifty paise coins, 5 twenty five paise coins and a certain fixed number N (ge2) of ten and…
A computer producing factory has only two plants T_1 and T_2 . Plant T_1 produces 20% and plant T_2 produces…
Four dice are thrown simultaneously and the numbers shown on these dice are recorded in 2times2 matrices.…
If the mean and the variance of binomial variate X are 2 and 1 respectively, then the probability that X…
For a biased die the probabilities for the different faces to turn up are given below: Face: 1,\ 2,\ 3,\ 4,\…
Let M be the maximum value of the product of two positive integers when their sum is 66 . Let the sample…
Let A and B two events such that P (overlineAcup B )=frac16 , P(Acap B)=frac14 and P (bar A )=frac14 , where…