A coin is tossed 500 times and we get
heads : 285 times and tails : 215 times
When a coin is tossed at random , what is probability of getting
(i) a head ? (ii) a tail ?

Answer

To solve the problem step by step, we will calculate the probability of getting heads and tails when a coin is tossed based on the given data.

### Step-by-Step Solution:

1. **Identify the total number of tosses**:
The total number of times the coin is tossed is given as 500.

2. **Count the number of heads**:
The number of times heads appeared is given as 285.

3. **Count the number of tails**:
The number of times tails appeared is given as 215.

4. **Calculate the probability of getting heads**:
The probability of an event is calculated using the formula:
\[ P(\text{Head}) = \frac{\text{Number of favorable outcomes (Heads)}}{\text{Total number of outcomes (Tosses)}} \]
Substituting the values:
\[ P(\text{Head}) = \frac{285}{500} \]
Now, simplifying this fraction:
\[ P(\text{Head}) = 0.57 \]

5. **Calculate the probability of getting tails**:
Similarly, we calculate the probability of getting tails:
\[ P(\text{Tail}) = \frac{\text{Number of favorable outcomes (Tails)}}{\text{Total number of outcomes (Tosses)}} \]
Substituting the values:
\[ P(\text{Tail}) = \frac{215}{500} \]
Now, simplifying this fraction:
\[ P(\text{Tail}) = 0.43 \]

### Final Answers:
- (i) The probability of getting a head is **0.57**.
- (ii) The probability of getting a tail is **0.43**.