Question

The outcome of the first event does affect the outcome of the second, so that the probability is changed

Answer 1

Answer:

Dependent Events

Step-by-step explanation:

Suppose we have 3 balls 1,2,3 and we have to find the probability of choosing one ball.

If the first ball is chosen the probability will 1/3  leaving behind 2 balls in the bag. If the first ball is not replaced and we have to choose again the probability of choosing the second or third ball would be 1/2 which is changed from the original probability of choosing 1 ball out of 3.  In this the outcome of the first event does affect the outcome of the second, so that the probability is changed. This is when choosing is done without replacement.

In this the events are called dependent events.

Consider this scenario again and suppose we replace the first ball after it is chosen back into the bag. Then again we choose another ball . And the probability of choosing the second ball after replacement remains the same as choosing the first ball. In this he outcome of the first event does not affect the outcome of the second, so that the probability remain the same. This is done by replacement.In this the events are independent.