Question
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?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started