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Mathematics · Probability · NCERT Examples

Example 1

A complete, independently verified solution for NCERT Example 1.

Mathematics · Chapter 14 · NCERT Examples

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NCERT Example

Example 1

coin · head · tail

Find the probability of getting a head when a fair coin is tossed once. Also find the probability of getting a tail.

Solution

Board-exam working:

The equally likely outcomes are Head (H) and Tail (T).

S={H,T},n(S)=2S=\{H,T\},\qquad n(S)=2

For the event of getting a head, there is one favourable outcome.

P(H)=n(H)n(S)=12P(H)=\frac{n(H)}{n(S)}=\frac12

For the event of getting a tail, there is also one favourable outcome.

P(T)=n(T)n(S)=12P(T)=\frac{n(T)}{n(S)}=\frac12

Final answer

P(H)=12,P(T)=12\boxed{P(H)=\frac12,\qquad P(T)=\frac12}