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You are an astronomer studying a planetary system of a red dwarf star. Over years of research you've discovered that for this type of star

You are an astronomer studying a planetary system of a red dwarf star. Over years of research you've discovered that for this type of star the following is true:

  • 30% of stars have 2 planets
  • 70% of stars have 3 planets
  • No star of this type has less than 2 or more than 3 planets.

There are two general types of planets: gas giants and rocky Earth-like planets that are equally abundant, i.e. if any particular planet orbiting around a star has an equal chance of being giant or rocky.

Some exoplanets are very difficult to observe, specifically, modern telescopes have a 100% chance of detecting a giant Jupiter-like planet if it orbits around a star, but only 20% chance of detecting a rocky Earth-like planet.

After careful observation you found two giant exoplanets in the star system. How likely is it that this star has a rocky Earth-sized planet orbiting it?

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