The first marble is the independent event because its probability is only based on the sample space of the bag. The second marble is the dependent event because its probability is based on the sample space of the bag which has now been changed by the first marble.
The second and third marbles depend upon the first, so they are dependent. Even if they are all being drawn together, because there is no replacement, each removal affects the original group of marbles.
dependent event
Two events are said to be independent if the outcome of one event does not affect the outcome of the other. Their probabilities are independent probabilities. If the events are not independent then they are dependent.
If you pull 35 marbles without replacement, the answer is 1: the event is a certainty. If you pull only one marble, at random, the probability is 16/50 = 8/25.
Yes
The second and third marbles depend upon the first, so they are dependent. Even if they are all being drawn together, because there is no replacement, each removal affects the original group of marbles.
dependent event
Two events are said to be independent if the outcome of one event does not affect the outcome of the other. Their probabilities are independent probabilities. If the events are not independent then they are dependent.
If you pull 35 marbles without replacement, the answer is 1: the event is a certainty. If you pull only one marble, at random, the probability is 16/50 = 8/25.
Independent event: I fall down from a 100 metre high point without any protective gear. Dependent event: I die.
Yes
true or false ?
They are independent, because the probability of the first event does not affect the probability of the second event.
P(A given B)*P(B)=P(A and B), where event A is dependent on event B. Finding the probability of an independent event really depends on the situation (dart throwing, coin flipping, even Schrodinger's cat...).
Yes, it is an independent event. However, if you did not replace the card it would not be an independent event, since you don't have an equal chance of pulling any particular card.
The event whose occurrence is not relying on other the other event is independent e.g the occurance of Head in a coin throw is not dependent on other side, the Tail, so it is an independent event. When two events are depending on each other in order to gain a required result, the events are said to be dependant.
An Event is a set of outcomes in a given expirament say, were talking about independent events, that's when event a does NOT effect event b. where as if we were talking about dependent events event a DOES effect event b. Independent event example - A teacher draws a name out of a hat, then puts it back, then draws another name. dependent event example- a teacher draws a name and DOES NOT put it back. and chooses another.