A committee of two persons is selected from 2 men and 2 women.What is the probabality that the committee will have 1) at least one man 2)at most one man
What is the difference betwnn these 2 and also i need solotion for both
the number of men =2 the number of woman = 2.
(i) at least one man : at least one man means either committee has one man or it has two man.
the probability of at least one man = 1- probability of no man
i.e. we will calculate the probability that committee has no man and will subtract it from 1
(ii) at most one men = either committee has one man or no man.
case I : committee has one man =
case II: committee has no man =
thus the probability that committee has at most one man
hope this helps you
(i) at least one man : at least one man means either committee has one man or it has two man.
the probability of at least one man = 1- probability of no man
i.e. we will calculate the probability that committee has no man and will subtract it from 1
(ii) at most one men = either committee has one man or no man.
case I : committee has one man =
case II: committee has no man =
thus the probability that committee has at most one man
hope this helps you