When we toss a coin, there are two possible outcomes – Head or Tail. Therefore, the probability of each outcome is \(\dfrac{1}{2}\). Justify your answer.
Step 1: Recall what probability means.
Probability of an event = \( \dfrac{\text{Number of favourable outcomes}}{\text{Total number of possible outcomes}} \).
Step 2: Write the sample space for tossing a coin.
The sample space is the set of all possible outcomes when we toss the coin.
\(S = \{ H, T \}\), where H = Head and T = Tail.
Step 3: Count the total number of outcomes.
There are 2 outcomes in the sample space (H or T).
Step 4: Find the probability of getting a Head.
Number of favourable outcomes for Head = 1 (only H).
Total outcomes = 2.
\(P(H) = \dfrac{1}{2}\).
Step 5: Find the probability of getting a Tail.
Number of favourable outcomes for Tail = 1 (only T).
Total outcomes = 2.
\(P(T) = \dfrac{1}{2}\).
Step 6: Conclusion.
Both outcomes are equally likely and each has probability \(\dfrac{1}{2}\).
So, the statement is True.