Q:

Select Independent or Not independent for each situation. Independent Not independent A bag contains red marbles and blue marbles. A red marble is selected followed by a blue marble, at random, without replacement. A coin is flipped twice. A bag contains nickels and dimes. A nickel is selected followed by a dime, at random, with replacement. A spinner contains 4 equal sectors. Each sector is labeled A, B, C, and D. The spinner is spun twice.

Accepted Solution

A:
Two events are independent if whether an event occurs or not doesn't affect the possibility of whether the other event occurs or not.

"A bag contains red marbles and blue marbles. A red marble is selected followed by a blue marble, at random, without replacement": Since the selection is without replacement, the events are dependent.

"A coin is flipped twice": Independent

"A bag contains nickels and dimes. A nickel is selected followed by a dime, at random, with replacement.": Since the selection is with replacement, the events are independent.

"A spinner contains 4 equal sectors. Each sector is labeled A, B, C, and D. The spinner is spun twice.": Independent