Ramesh got Rs24000 as Bonus. He donated Rs5000 to temple. He gave Rs12000 to his wife, Rs2000 to his servant and gave rest of the amount to his daughter. Calculate the probability of
daughter’s share.

Answer

To solve the problem step by step, we will calculate the daughter's share and then find the probability of that share relative to the total bonus Ramesh received.

### Step 1: Calculate the total amount Ramesh received.
Ramesh received a bonus of Rs 24000.

### Step 2: Calculate the total amount given to others.
- Amount donated to the temple: Rs 5000
- Amount given to his wife: Rs 12000
- Amount given to his servant: Rs 2000

Now, we will sum these amounts:
\[ \text{Total given to others} = 5000 + 12000 + 2000 = 19000 \]

### Step 3: Calculate the daughter's share.
To find the daughter's share, we subtract the total amount given to others from the total bonus:
\[ \text{Daughter's share} = \text{Total bonus} - \text{Total given to others} \]
\[ \text{Daughter's share} = 24000 - 19000 = 5000 \]

### Step 4: Calculate the probability of the daughter's share.
The probability of an event is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case:
- Number of favorable outcomes (daughter's share) = Rs 5000
- Total number of outcomes (total bonus) = Rs 24000

Thus, the probability of the daughter's share is:
\[ \text{Probability} = \frac{5000}{24000} \]

### Step 5: Simplify the probability.
To simplify:
\[ \frac{5000}{24000} = \frac{5}{24} \]

### Final Answer:
The probability of the daughter's share is \(\frac{5}{24}\).

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