The trap in this Akuna Capital 2027 VidCruiter Video Interview question is visual. Many candidates see a circle and start calculating its area. The useful variable is the location of its center.
The real question
The assessment asks:
A coin with 3/4 inch diameter is tossed onto a grid with lines separated by 1 inch in both the horizontal and vertical direction. Assume the grid is infinitely large and the lines are infinitely thin. What is the probability the coin lands entirely inside a square on the grid?
How you lose points
- Starting with pi. No circular-area calculation identifies the set of safe center positions.
- Shrinking once. A 3/8-inch radius must be removed from both ends of each axis.
- Treating horizontal and vertical clearance as alternatives. Both conditions must hold at the same time.
- Skipping the sample space. The center is uniform within a representative 1-inch by 1-inch cell.
- Overexplaining. A long derivation can hide a short and decisive area argument.
How you pass
Frame a single grid cell as the sample space. The coin fits only when its center is more than one radius from every grid line. Since the radius is 3/8 inch, the safe horizontal interval has length 1 - 3/8 - 3/8 = 1/4 inch. The vertical interval has the same length.
Those two independent coordinates form a 1/4-inch by 1/4-inch safe square. Its area is 1/16, while the full cell has area 1, so the required probability is 1/16. A concise response should name the center, the clearance, and the area ratio in that order.
Get the ones for your role
One polished explanation is useful, but preparation improves when the question types change. OfferTutoring has the complete Akuna Capital question resources for focused practice across the assessment.
