Question: A space telescope captures data on 9 exoplanets, 4 of which have habitable conditions. What is the probability that a randomly selected subset of 3 exoplanets includes exactly 2 habitable ones? - Sterling Industries
A Space Telescope’s Statistical Insight: Probability of Exoplanet Habitability
A Space Telescope’s Statistical Insight: Probability of Exoplanet Habitability
With growing fascination over whether life exists beyond Earth, a recent breakthrough from a leading space telescope has captured global attention. The instrument has gathered data on 9 exoplanets, 4 of which show promising signs for habitability—conditions that could support liquid water and potentially life. This raises a captivating question: What is the probability that a randomly selected team of 3 exoplanets includes exactly 2 habitable worlds?
Why this question is trending right now
As humanity’s reach into space deepens, data-driven stories about potentially habitable worlds are sparking interest across scientific communities and the general public. Advances in telescopic technology allow researchers to analyze distant atmospheres and orbital conditions at unprecedented precision. The orbit of curiosity around these findings is fueled by growing investments in astrobiology and the search for life beyond Earth. For curious readers—especially in the U.S., where space science attracts sustained attention—this probabilistic insight offers a window into how data shapes our understanding of cosmic possibilities.
Understanding the Context
How the Probability Works: A Clear Breakdown
To calculate the chance of selecting exactly 2 habitable exoplanets from a group of 9—4 habitable, 5 non-habitable—mathematical reasoning reveals a logical pattern. Start by identifying how many ways we can choose 2 habitable planets from 4, and 1 non-habitable planet from 5. Multiply these combinations to find favorable outcomes. Then, divide by the total number of ways to choose any 3 exoplanets from 9. This approach avoids guesswork, grounding the probability in solid math.
What the Math Reveals
Favorable outcomes: C(4,2) × C(5,1) = 6 × 5 = 30
Total outcomes: C(9,3) = 84
Probability: 30 / 84 = 5 / 14 ≈ 0.357
This means there’s roughly a 35.7% chance a random trio includes exactly 2 habitable exoplanets—a subtle but meaningful insight into cosmic diversity.
Common Questions About the Probability Question
H3: *How was this calculation verified?
