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.
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.
Yes
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...).
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.
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.
Independent event: I fall down from a 100 metre high point without any protective gear. Dependent event: I die.
true or false ?
Yes
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...).
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.
when the occurance of an event B is not affected by the occurance of event A than we can say that these events are not dependent with each other
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