Question

Imagine tossing a fair coin two times. What is the sample space of this chance process?

What is the probability of obtaining both tails?

What is the probability of obtaining none tails?

What is the probability of obtaining at least one head?

What is the probability of obtaining at most onetail?

Answer 1

Tossing a fair coin 2 times

sample space: {HH,HT,TH,TT}

where, H = heads, T = Tails

What is the probability of obtaining both tails?

-> Possible events = 1 (TT) , sample space size = 4

Thus, required probability = 1/4

What is the probability of obtaining none tails?

-> Possible events = 1 (HH) , sample space size = 4

Thus, required probability = 1/4

What is the probability of obtaining at least one head?

-> Possible events = 3 (HH, HT, TH) , sample space size = 4

Thus, required probability = 3/4

What is the probability of obtaining at most one tail?

-> Possible events = 3 (HH, HT, TH) , sample space size = 4

Thus, required probability = 3/4