A bag contains 5 pictures of Paris and 7 pictures of London. Determine whether the events of selecting the picture of London and another picture of London with replacement is independent or dependent. Then identify the indicated probability.
49/144
As long as there is replacement, the events are independent.
The probability of both/all events occurring is found by multiplying the probabilities of the individual events.
7/12 * 7/12 =
The events of selecting a picture of London and then selecting another picture of London with replacement are independent.
This is because when an event is independent, the outcome of one event does not affect the outcome of the other event. In this case, after selecting the first picture of London and replacing it back in the bag, the probability of selecting another picture of London remains the same.
To identify the indicated probability, we need the total number of pictures in the bag. In this case, the bag contains 5 pictures of Paris and 7 pictures of London, so the total number of pictures is 5 + 7 = 12.
The probability of selecting a picture of London is 7 out of 12, or 7/12.
Since the events are independent, the probability of selecting another picture of London with replacement is also 7/12.
To determine whether the events of selecting a picture of London and another picture of London with replacement is independent or dependent, we need to consider if the outcome of the first event affects the outcome of the second event.
In this case, since we are replacing the picture after each selection, the probability of selecting a London picture on the second draw is unchanged. Therefore, the two events are independent.
To identify the indicated probability, we need to know what exactly is being asked. Please provide more information about the specific probability you are referring to.