To determine the probability that Sofia's finger lands on the sea when she randomly points to a location on the globe, we need to follow these steps:
1. Calculate the Total Surface Area of the Earth:
- The total surface area is the sum of the sea area and land area.
- Sea area = 360 million km²
- Land area = 150 million km²
- Total area = Sea area + Land area
- Total area = 360 million km² + 150 million km² = 510 million km²
2. Determine the Probability of Landing on the Sea:
- Probability is calculated by dividing the favorable outcomes (sea area) by the total possible outcomes (total surface area of the earth).
- Probability of landing on the sea = (Sea area) / (Total area)
- Probability of landing on the sea = 360 million km² / 510 million km²
- Simplify the fraction to its simplest form.
3. Simplify the Fraction:
- To simplify the fraction 360/510, we find the greatest common divisor (GCD) of the numerator (360) and the denominator (510).
- Dividing both by their GCD (which is 30), we get:
- [tex]\( \frac{360 \div 30}{510 \div 30} = \frac{12}{17} \)[/tex]
Thus, the probability that Sofia's finger lands on the sea is [tex]\( \frac{12}{17} \)[/tex].
