Hi, if in an urn there are 3 red balls and 2 white balls and we draw 2 balls from the urn without replacement.(adsbygoogle = window.adsbygoogle || []).push({});

If we assume that at each ball in the urn is equally likely to be chosen, what is the probability that both balls are red?

I know the solution is [tex] \frac{\binom{3}{2}}{\binom{5}{2}}[/tex], but i want to show the elements of the sample space, for example are they the elements: [tex]r_1, r_2, r_3, w_1, w_2[/tex]?

If i split the events in two disjoint events as R_1={the first ball is red} and R_{the second ball is red} what are the elements of these sets?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Probability, balls in an urn

**Physics Forums | Science Articles, Homework Help, Discussion**