Sign in to track progress, unlock prep layers, and browse your pipeline.Sign in
Find probability of overlapping blooms
Overlap Probability of Two Random Bloom Periods
Assumptions:
- Time is measured in days over a 30-day horizon.
- Each flower begins blooming once, at a start time chosen independently and uniformly at random in [0, 30].
- Purple bloom length: 9 days.
- Red bloom length: 12 days.
Question:
What is the probability that the two flowers overlap in bloom at some point (i.e., there is at least one day when both are simultaneously in bloom)?
AI interview prep
Core dilemma
Calculating the probability of an intersection of two continuous random intervals, considering the constraints of the total time horizon.
Mid-level signals3
Senior signals3
Red flags3
2 tradeoffs and 2 stress tests locked
Interview prep
Unlock the interviewer X-Ray rubric, tradeoff matrix, stress tests, clarifying questions, and key concepts.
Find probability of overlapping blooms
Overlap Probability of Two Random Bloom Periods
Assumptions:
- Time is measured in days over a 30-day horizon.
- Each flower begins blooming once, at a start time chosen independently and uniformly at random in [0, 30].
- Purple bloom length: 9 days.
- Red bloom length: 12 days.
Question:
What is the probability that the two flowers overlap in bloom at some point (i.e., there is at least one day when both are simultaneously in bloom)?