5A micropaleontologist analyzing microfossils found that 40% of the 120 samples collected from Site A showed evidence of warm climate conditions, while 25% of the 80 samples from Site B indicated similar evidence. If the scientist selects one sample at random from the combined collection, what is the probability it came from Site B and indicates warm climate conditions?

["Title: Revealing Past Climate Patterns: Probability Analysis of Microfossils from Sites A and B", "In the field of micropaleontology, analyzing microfossils offers critical insights into Earth’s climatic history. A recent study by a dedicated 5A micropaleontologist examined sediment samples from two distinct locations—Site A and Site B—to reconstruct past environmental conditions. By examining 120 samples from Site A and 80 from Site B, the researcher uncovered significant evidence of past warm climate conditions. But what does the combined data reveal about the likelihood that a randomly selected sample—with known origin—shows both Site B origin and warm climate indicators?", "### Study Overview: samples and climate indicators\n- Site A: 120 samples; 40% show evidence of warm climate conditions → 0.40 × 120 = 48 warm-climate samples\n- Site B: 80 samples; 25% show warm climate evidence → 0.25 × 80 = 20 warm-climate samples", "Together, the total number of samples is:\n120 (Site A) + 80 (Site B) = 200 samples", "The total number of samples indicating warm climate conditions is:\n48 (from Site A) + 20 (from Site B) = 68 samples", "Among these 68 warm-climate samples, 20 originated from Site B. To find the probability that a randomly selected sample from the entire collection came from Site B and indicates warm climate conditions, we compute:\n[\n\ ext{Probability} = \frac{\ ext{Number of warm-climate samples from Site B}}{\ ext{Total number of samples}} = \frac{20}{200} = 0.10\n]", "### Interpreting the result\nThe probability is 10%—meaning one in ten randomly selected samples from the combined collection is both from Site B and shows evidence of warm climate conditions. This analysis underscores the power of integrating fossil data with statistical probability to understand past climate variability.", "### Why this matters in palaeoclimatology\nIdentifying climate signals in microfossils helps reconstruct historical temperature patterns, offering context for current climate change. The calculated probability enhances the rigor of interpreting such samples, especially in comparative studies between different regions.", "In summary, the 5A micropaleontologist’s findings—when joined with probability modeling—provide a clearer picture of ancient warm episodes and help guide more informed ecological and geological research.", "---", "Keywords: micropaleontology, microfossils, warm climate evidence, paleoclimatology, probability analysis, Site A, Site B, sediment analysis, climate history, 5A micropaleontologist."]