In: Statistics and Probability
After a campaign to encourage students to take precautions against skin cancer, in a certain high school class consisting of 34 girls and 39 boys, it is observed that 26 girls and 25 boys take precautions as measured by a survey to elicit how often they wear sunscreen, sunglasses and hats for protection against the sun.
Please use this information to calculate the probabilities for the following questions. Please provide each numerical answer to TWO DECIMAL places (X.XX) with no additional information in the answer box. Just X.XX (i.e. no extra spaces, no units, etc).
What is the probability that a student picked at random takes precautions against skin cancer (by wearing sunscreen, sunglasses and a hat), given that the student is a boy?
Total students = 34 + 39 = 73
P(takes precautions against skin cancer | boy) = P(boy and takes precuations) / P(boy)
= (25/73) / (39/73)
= 25 / 39
= 0.64 (ans)