Question

Two unbiased coins are tossed. What is the probability of getting one head and one tail?

• A. \(\frac{1}{2}\)
• B. \(\frac{1}{3}\)
• C. \(\frac{1}{4}\)
• D. 1

Answer 1

The Correct Option is A

To solve the problem of finding the probability of getting one head and one tail when two unbiased coins are tossed, we start by identifying all possible outcomes. When a coin is tossed, the possible outcomes are Head (H) and Tail (T). Therefore, for two coins, the possible outcomes are:

• HH
• HT
• TH
• TT

This gives us a total of 4 possible outcomes. We are interested in the outcomes where there is one head and one tail. These outcomes are:

• HT
• TH

There are 2 favorable outcomes. The probability of an event is given by the formula:

\(P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\)

Substituting the known values:

\(P(\text{one head and one tail}) = \frac{2}{4} = \frac{1}{2}\)

Hence, the probability of getting one head and one tail when two unbiased coins are tossed is \(\frac{1}{2}\).