Final answer:
The probability that the team will run the ball and it is 1st down can be calculated using the given frequencies or probabilities associated with football plays.
Explanation:
To determine this probability, you'd need the specific frequencies or probabilities of running the ball and the probability of it being 1st down in the dataset or information provided. Use the formula for finding the joint probability of two independent events: P(A and B) = P(A) * P(B), assuming running the ball and it being 1st down are independent events. Multiply the probability of running the ball by the probability of it being 1st down to find the joint probability.
For instance, if the probability of running the ball is 0.6 and the probability of it being 1st down is 0.4, assuming these events are independent, you'd multiply 0.6 by 0.4 to find the joint probability, which would be 0.24.
Ensure that the probabilities provided or derived from the dataset sum up to 1, reflecting all possible outcomes in the scenario described. The joint probability of two independent events can be calculated by multiplying their individual probabilities together if they don’t influence each other.
Remember, the accuracy of this calculation depends on the accuracy and relevance of the provided data. Always verify the independence of the events and the completeness of the given information for accurate probability calculations.