Problema Solution
Red-31% Short sleeved-34%
Blue-28% Long sleeved-66%
Green-18%
Pink-23%
These charts give data about shirts manufactured daily by a company. Assuming that the events are independent, find the probability that a randomly chosen shirt is a long sleeved green shirt.
Answer provided by our tutors
If events A and B are independent, then the probability of both A and B occurring is
P(A and B) = P(A) · P(B)
in our case
A: the shirt is long sleeved and P(A) = 0.66
B: the shirt is green and P(B) = 0.18
A and B: the shirt is a long sleeved and green
P(A and B) = 0.66*0.18
P(A and B) = 0.1188 or 11.88%
the probability that a randomly chosen shirt is a long sleeved green shirt is 0.1188 or 11.88%.