please help with this problem !

Question

Savings Mart has a table of T-shirts on clearance. There are 12 small, 24 medium and 14 large. Mary and Millie each choose a shirt.
Part a: Are the events independent (I) or dependent (D)?

Part b: Determine the probability that they both choose a size medium. P ≈

Answer 1

Carol,

 

If these events are RANDOM, they are independent

 

the problem really should specify this

 

(a) if they are random, they are independent

 

(b) if they are independent, the P(both choose medium) = # of medium shirts/# of total shirts

 

P(first choice is medium) = 24/50

 

P(second choice is medium) = 23/49

 

P(both choose medium) = (24/50)(23/49)

 

 = 552/2450

 

= 276/1225

 

= approximately .225

 

but the exact answer is the fraction