Question

Quantity A: A is the Maternity Hospital with an average of one child birth a day throughout the year. The probability that a child is born in a September is \( \frac{30}{365} \).
Quantity B: The probability that a child is born at the same hospital on Friday is \( \frac{1}{7} \).

• A. If Quantity A is more than Quantity B
• B. If Quantity A is equal to Quantity B
• C. If Quantity A is less than Quantity B
• D. If comparison can’t be made from the information given

Hint:

When comparing probabilities, convert the fractions to decimal form to easily compare them.

Answer 1

The Correct Option is C

Step 1: Calculate the probability for Quantity A.
The total number of days in a year is 365. The number of days in September is 30, so the probability that a child is born in September is: \[ P(A) = \frac{30}{365} \] Step 2: Calculate the probability for Quantity B.
There are 7 days in a week, so the probability that a child is born on Friday (assuming that the child is equally likely to be born on any day of the week) is: \[ P(B) = \frac{1}{7} \] Step 3: Comparison.
Now, let's compare the two probabilities: - \( P(A) = \frac{30}{365} \approx 0.0822 \) - \( P(B) = \frac{1}{7} \approx 0.1429 \) Since \( P(A)<P(B) \), we conclude that Quantity A is less than Quantity B. Step 4: Conclusion.
Therefore, the correct answer is option (3): Quantity A is less than Quantity B.