After last week's question related to the Bayes' theorem, here is a new riddle:
A jar contains ten marbles, five of which are red and five of which are blue. If Kori reaches in the jar and simultaneously picks two marbles at random, what is the probability that both will be red?
Looking forward to your answers :-)
The second question on this text is: What is the probability that Kori will draw one of each color?
5/9
... and correct :-)
2/9
Correct.
Break this down for me why is it 2/9 and not 1/3? if you reach in and grab 2 marble there are only 3 option 2 red, 2 blue, or one of each .
The first marble has to be red (probability: 1/2) and the second marble has to be red (probability: 4/9). The probability that both marbles are red, is obtained by 1/2 * 4/9 (multiplication rule of probability) = 4/18 = 2/9.
Very neat, Thank you. I have learn my something new for today.
Sent to my friend who teaches Statistics at a State University. We'll see if he gets it right!