A coin is tossed for a certain number of times. If the probability of getting a head is 0.4 and head appears for 24 times, find the number of times, the coin was tossed.

Options

A. 120
B. 60
C. 40
D. 80

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the given information
We know:
- The probability of getting a head (P(H)) = 0.4
- The number of times heads appeared = 24

### Step 2: Set up the probability formula
The probability of getting heads can be expressed as:
\[ P(H) = \frac{\text{Number of Heads}}{\text{Total Number of Tosses}} \]

Let \( x \) be the total number of times the coin was tossed. Therefore, we can write:
\[ P(H) = \frac{24}{x} \]

### Step 3: Substitute the known values into the formula
We can substitute the known probability into the equation:
\[ 0.4 = \frac{24}{x} \]

### Step 4: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{24}{0.4} \]

### Step 5: Calculate \( x \)
To simplify the calculation, we can multiply the numerator and denominator by 10 to eliminate the decimal:
\[ x = \frac{24 \times 10}{0.4 \times 10} = \frac{240}{4} = 60 \]

### Step 6: Conclusion
The total number of times the coin was tossed is \( x = 60 \).

### Final Answer
The coin was tossed **60 times**.

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