Question

For the diagram given below,


find the probability of getting a Tail when a fair coin is tossed.

Also, identify the favorable and desirable outcome.

• A. $\text{P(T)}=\frac{1}{2}$
  Favorable outcome $=$ Getting a Head
  Desirable outcome $=$ Getting a Tail
• B. $\text{P(T)}=\frac{1}{2}$
  Favorable outcome $=$ Getting a Tail
  Desirable outcome $=$ Getting a Tail
• C. $\text{P(T)}=\frac{1}{2}$
  Favorable outcome $=$ Getting a Head
  Desirable outcome $=$ Getting a Head
• D. $\text{P(T)}=\frac{1}{2}$
  Favorable outcome $=$ Getting a Tail
  Desirable outcome $=$ Getting a Head

Answer 1

The correct option is D $\text{P(T)}=\frac{1}{2}$

Favorable outcome $=$ Getting a Tail
Desirable outcome $=$ Getting a Head
When a fair coin is tossed, the sample space $S$ obtained is:

$S=\{H,T\}$
where $H$ stands for Head and $T$ stands for Tail.

Let $\text{P(T)}$ denotes the probabilty of getting a Tail.

Then,
$\text{P(T)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

In this case,
Number of favorable outcomes $=1$
Total number of outcomes $=2$

$\text{P(T)}=\frac{1}{2}$

The probability of getting a Tail when a fair coin is tossed is $\frac{1}{2}$.

The desirable outcome is "getting a Head" as getting a Head signifies a win.

Therefore, option (d.) is the correct answer.