In: Statistics and Probability
A lottery is conducted in which 7 winning numbers are randomly selected from a total of 62 numbers (1-62). In addition, the Powerball, a single winning number, is selected from an independent pool of 26 numbers (1-26). You select 7 numbers from the pool of 62 numbers.
If the probability of choosing 2 of the 7 winning numbers from
the pool of 62 numbers is .08862, what is the probability will
choose the Powerball from the pool of 26 numbers?