In each of n independent tosses of a coin, the coin lands

Step1 of 2

Let us consider a fair coin, the probability of the coin lands on heads for each of ‘n’ independent tosses of a coin is ‘p.’

We need to find How large need ‘n’ be so that the probability of obtaining at least one head is at least

Step2 of 2

Consider head on falling coin as random variable = X. where X = 0,1,2,3,...

We know that the coin is tossed ‘n’ times and probability of getting head is ‘p.’

Hence, X follows binomial distribution with parameter ‘n and p.’

Then, The probability of getting at least one head

Consider,

We know that the probability mass function of binomial distribution is: