Question

A drawer contains 6 white socks and 10 black socks. If 2 socks are chosen at random, what is the probability that they will have the same color

1. 50%  is the probability that they will have the same color.
What is probability?
• Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes’ relative likelihoods and distributions.
• Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).
• Relative Frequency Definition.
• Subjective Probability.
there are 16 socks in the drawer
probability of 2 white socks  or  2 black socks
6/16 *5/15  + 10/16*9/15   no replacement on socks
30/240 + 90/240
120/240
1/2 = 50%