I have a basic doubt in following -
Selecting 2 objects from n objects = nC2 Suppose if i add condtion - selection of 2 objects are independent of each other then how many ways can we select 2 objects?
1st object can be selected in n ways. If selecting 2 objects are independent of each other means - 2nd object is to be selected from n objects are n-1 objects. 2nd object if picked from n-1 objects means 2nd object can not be 1st object. In that sense is 2nd object selection is dependent on 1st object(as if 1st obj selected is r then 2nd object can not be r)
If i choose 2nd object from n objects means repetion allowed?
I am confused. Please englighten me
sir in wiki it is given as - "If two cards are drawn with replacement from a deck of cards, the event of drawing a red card on the first trial and that of drawing a red card on the second trial are independent. By contrast, if two cards are drawn without replacement from a deck of cards, the event of drawing a red card on the first trial and that of drawing a red card on the second trial are not independent, because a deck that has had a red card removed has proportionately fewer red cards. "(https://en.wikipedia.org/wiki/Independence_(probability_theory)). So when i pick a ball from a bag(without replacement), picking a ball second time, probability reduces right? so they must be dependant events right? please elaborate ....