Question

When a coin having head and tail is thrown, which of the following is probability of not getting head?

• A. \(\frac12\)
• B. \(\frac13\)
• C. \(\frac14\)
• D. \(\frac25\)

Hint:

In a single coin toss, probability of head is \(\frac12\) and probability of tail is also \(\frac12\).

Answer 1

The Correct Option is A

Concept:
Probability is calculated as: \[ P(E)=\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}} \]

Step 1: Write the sample space.
When one coin is tossed, possible outcomes are: \[ S=\{H,T\} \] So, total number of outcomes is: \[ 2 \]

Step 2: Identify favourable outcome.
Not getting head means getting tail. So, favourable outcome is: \[ T \] Number of favourable outcomes: \[ 1 \]

Step 3: Calculate probability. \[ P(\text{not getting head})=\frac{1}{2} \] \[ \therefore \text{Correct Answer is (A)} \]