Question

Two friends rented a truck from a store. The store charges \$19.99 per hour or portion thereof for rent and \$0.55 per mile travelled, with no charges for fuel. How much did they pay the store? Statement (I): Total round trip was 100 miles.
Statement (II): They returned the truck after 3 hours 20 minutes.

• A. Statement (I) alone is sufficient.
• B. Statement (II) alone is sufficient.
• C. Both statements (I) and (II) are sufficient.
• D. Neither statement is sufficient.

Hint:

When a cost depends on two independent variables (time and distance), both must be provided or solvable.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
We are asked to find the probability of rolling a total sum of 9 using two standard six-sided dice.


Step 2: Key Formula or Approach:
The probability of any event \(E\) is calculated as:
\[ P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \]

Step 3: Detailed Explanation:
Rolling two dice yields a total sample space of:
\[ 6 \times 6 = 36 \text{ possible outcomes} \] Let \(E\) represent the event where the sum of the two dice is exactly 9.
We list all possible pairs \((x, y)\) that satisfy \(x + y = 9\):
\((3, 6), (4, 5), (5, 4), \text{ and } (6, 3)\)
This gives us exactly 4 favorable outcomes.
Plugging these values into our probability formula gives:
\[ P(E) = \frac{4}{36} \] Reducing the fraction by dividing both the numerator and denominator by 4 results in:
\[ P(E) = \frac{1}{9} \]

Step 4: Final Answer:
The correct choice is (A).