The experimental probability that the next student will pick baseball as their favorite sport is approximately 33.33%, calculated by dividing the number of students who chose baseball (19) by the total number surveyed (57).
The question posed by the student concerns the calculation of the experimental probability of an event based on survey data. To calculate the experimental probability that the next student Claire talks to will pick baseball as their favorite sport, we'll use the data provided, where 19 students indicated baseball is their favorite, while 38 students had other favorites.
The experimental probability (P) of an event is calculated as the number of times the event occurs (favorable outcomes) divided by the total number of trials or observations. Therefore, the experimental probability that the next student will pick baseball is:
P(baseball) = Number of students who picked baseball / Total number of students surveyed
P(baseball) = 19 / (19 + 38)
P(baseball) = 19 / 57
This simplifies down to approximately:
P(baseball) = 0.3333 or 33.33%