If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
First marble = 5/14
With one less yellow marble, second = 4/13
With another less yellow marble, third = ?
Multiply the three values.
A bag contains 3 red marbles, 5 yellow marbles and 6 orange marbles. Three marbles are drawn and NOT replaced each time. Determine the probability of drawing three yellow marbles in a row. State whether the events are dependent or independent.
3 answers
I'm still not sure.. I'm good with independent events but these dependent one has me confused..
I think I solved it:
RRR,YYYYY,OOOOOO
[RYO],[RRR],[RYY],[ROO]
[YYY],[YOR],[YOO],[YYO],[YRY],[YRR]
[OOO],[ORO],[OYO],[ORR],[OYY],[ORY]
There are 16 probable outcomes, only one of which was favourable, so 1/16=0.0625 so there is a 6% probability of you drawing 3 yellows!
This event is dependent as the probability of drawing another yellow marble can either reduce or increase depending on the amount of each colour that remains inside the bag.
RRR,YYYYY,OOOOOO
[RYO],[RRR],[RYY],[ROO]
[YYY],[YOR],[YOO],[YYO],[YRY],[YRR]
[OOO],[ORO],[OYO],[ORR],[OYY],[ORY]
There are 16 probable outcomes, only one of which was favourable, so 1/16=0.0625 so there is a 6% probability of you drawing 3 yellows!
This event is dependent as the probability of drawing another yellow marble can either reduce or increase depending on the amount of each colour that remains inside the bag.