Problem43: Probability

¡Puedes leer este texto en español! Problema43: Probabilidad

Ej43. An urn A has 5 white balls and 5 black ones. Another urn B, has 3 white balls and 3 black ones. An urn is chosen at random and two balls are drawn at the same time.

Calculate the probability that both balls will be black.


We conduct a data compilation given by problem statement:

· Urn with letter A: 5 white balls and 5 black ones. Total: 5+5 = 10.
· Urn with letter B: 3 white balls and 3 black ones. Total: 3+3 = 6.

· N ≡ 'Both balls drawn are black'.
· A ≡ 'Ball drawn of the urn A'.
· B ≡ 'Ball drawn of the urn B'.

· P(A) = P(B) = 1/2.

The solution to this problem is as follows:

Finally, the probability of getting two consecutive black balls and without replacement is approximately, 0.211111.