Problema Solution
The probability of making the basketball team is 33%, the probability of making the softball team is 34%, and the probability of making one or the other is 50%. What is the probability of making both teams?
Answer provided by our tutors
The probability of either A or B occurring (or both) is
P(A or B) = P(A) + P(B) – P(A and B)
P(A and B) = P(A) + P(B) - P(A or B)
P(A) = 0.33 the probability of making the basketball team
P(B) = 0.34 the probability of making the softball team
P(A or B) = 0.50 the probability of making one or the other
P(A and B) = the probability of making both team
P(A and B) = 0.33 + 0.35 - 0.50
P(A and B) = 0.15 or 15%
the probability of making both teams is 15%.