[Math] An urn contains two red balls and four white balls. Sample successively five times at random and with replacement so that the trials are independent.

combinatoricsindependenceprobability

An urn contains two red balls and four white balls. Sample successively five times at random and with replacement so that the trials are independent.
Compute the probability of each of the two sequences

WWRWR

RWWWR

Please explain. I have the correct answer but i do not understand how to get it.

Best Answer

Hint :

If $A$ and $B$ two independant events, $P(A \cap B) = P(A)*P(B)$