Problema Solution
A bag contains 10 quarters and 5 nickels. Determine whether the events of picking a nickel first and then a quarter without replacement are independent or dependent. Then identify the indicated probability.
Answer provided by our tutors
The events are dependent.
A : picking nickel
B : picking quarter
B/A : picking a quarter after a nickles has been selected
A&B: picking a nickel first and then a quarter without replacement
P(A) = 5/15
P(A) = 1/3
P(B/A) = 10/14
P(B/A) = 5/7
P(A & B) = P(A)*P(B/A)
P(A & B) = (1/3)*(5/7)
P(A & B) = 5/21
P(A & B) = 0.2381
The probability of picking a nickel first and then a quarter without replacement is 0.2381.