Question

Theoretical Probabilities. Use the theoretical method to determine the probability ofthe following outcomes and events. State any assumptions that you make.1. Tossing two coins and getting either no tails or one tail

Answer 1

When two different coins are tossed randomly, the sample space is given by:

S = {HH, HT, TH, TT}

Therefore, n(S) = 4.

Let E1 = getting no tails, then, E1 = {HH} and, therefore, n(E1) = 1.

Therefore, P(getting no tails) = 1/4.

Let E2 = getting one tail, then, E2 = {HT, TH}, therefore n(E2) = 2.

Therefore P(getting one tail) = 2/4 = 1/2.

Finally getting either no tails or one tail = 1/4 + 1/2 = 3/4