Question

In a throw of two coins, find the probability of getting both heads or tails.

Answer 1

Step 1: Find the number of favorable outcomes:

The sample space obtained when throwing two coins will be $\{HH,HT,TH,TT\}$

Thus, the number of possible outcomes will be $4$

Also, the favorable outcomes of getting both heads or tails is $\{HH,TT\}$

Thus, the number of favorable outcomes will be $2$

Step 2: Use the formula for probability:

$\text{Probability=}\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

Thus, the probability will be,

$$\begin{gathered} \text{Probability=}\frac{2}{4} \\ \text{=}\frac{1}{2} \end{gathered}$$

Hence, the probability of getting both heads or tails will be $\frac{1}{2}$.