Question

select all the situations that contain independent events. A. The favorite fruit of five randomly selected shoppers in the produce section of a grocery store.B. Two fair dice are rolled. The first die lands on five and the second die lands on one. C. Selecting an A and then an S from a pile of face-down lettered tiles without replacing the first tile.D. The destinations of three randomly selected travelers at an airport.

Answer 1

An independent event is an event that has no connection to another event's chances of happening, i.e. the event has no effect on the probability of another event occurring.

We will now assess the options one after the other and find those that align with the definition above.

A. The choice of one shopper has no bearing on another. Therefore, it is independent.

B. The outcome of a die has no effect on the other. Therefore, it is independent.

C. The selection of a tile unreplaced has an effect on the overall effect on probability of choosing the next. Therefore, it is dependent.

D. The destination of a traveler has no bearing on the other. Therefore, it is independent.