To find the probability that the Yankees will win when they score 5 or more runs, we can use the formula for conditional probability:
P(A|B) = P(A and B) / P(B)
Where:
P(A|B) is the probability of A given B
P(A and B) is the probability of both A and B happening
P(B) is the probability of B happening
In this case:
A: Yankees win
B: Yankees score 5 or more runs
We are given:
P(A) = 0.6
P(B) = 0.48
P(A and B) = 0.37
So, we can substitute the values into the formula:
P(Yankees win | Yankees score 5 or more runs) = 0.37 / 0.48 ≈ 0.771
Therefore, the probability that the Yankees will win when they score 5 or more runs is approximately 0.771 (rounded to the nearest thousandth).
This season, the probability that the Yankees will win a game is 0.6 and the probability that the Yankees will score 5 or more in a game is 0.48. The probability that the Yankees win and score 5 or more runs is 0.37. What is the probability that the Yankees will win when they score 5 or more runs? Round your answer to the nearest thousandth
1 answer