A coin is tossed 100 times and head is obtained 59 times. On tossing a coin at random, find the probability of getting
(i) a head
(ii) a tail

Answer

To solve the problem, we need to find the probabilities of getting a head and a tail when a coin is tossed randomly, based on the results of 100 tosses.

### Step-by-Step Solution:

1. **Identify the total number of tosses**:
The coin is tossed 100 times.

2. **Determine the number of heads obtained**:
It is given that heads were obtained 59 times.

3. **Calculate the number of tails obtained**:
Since there are only heads and tails, we can find the number of tails by subtracting the number of heads from the total tosses.
\[ \text{Number of tails} = \text{Total tosses} - \text{Number of heads} = 100 - 59 = 41 \]

4. **Calculate the probability of getting a head**:
The probability of an event is given by the formula:
\[ \text{Probability of getting a head} = \frac{\text{Number of heads}}{\text{Total tosses}} = \frac{59}{100} \]

5. **Calculate the probability of getting a tail**:
Similarly, we can calculate the probability of getting a tail:
\[ \text{Probability of getting a tail} = \frac{\text{Number of tails}}{\text{Total tosses}} = \frac{41}{100} \]

### Final Answers:
- (i) Probability of getting a head = \(\frac{59}{100}\)
- (ii) Probability of getting a tail = \(\frac{41}{100}\)

---