Question

task 3: determine whether the events below are independent or dependent. do not solve. 1. a box of chocolates contains seven milk chocolates and six dark chocolates. you randomly pick a chocolate and eat it. then you randomly pick another piece. both pieces are milk chocolate. 2. you select a card from a standard shuffled deck of 52 cards. you return the card, shuffle, and then select another card. both times the card is a diamond. 3. a bag contains three red marbles and five blue marbles. you randomly pick a marble and then return it to the bag before picking another marble. both the first is blue and the second marble is red. 4. there are twelve shirts in your closet, five blue and seven green. you randomly select one to wear on monday and then a different one on tuesday. you wear blue shirts both days.

Explanation:

1. When the first chocolate is eaten, the total number of chocolates and the count of milk chocolates both decrease, changing the probability of picking a milk chocolate on the second try. The outcome of the first event affects the second.
2. Since the first card is returned and the deck is reshuffled, the deck is in its original state for the second selection. The outcome of the first card pick does not impact the second.
3. After the first marble is returned to the bag, the total number of marbles and the count of each color are unchanged for the second pick. The first marble pick does not affect the second.
4. When a shirt is worn on Monday, it is still available to be selected again on Tuesday (no indication it is removed from the closet). The first selection does not change the pool of shirts for the second pick.

Answer:

1. Dependent
2. Independent
3. Independent
4. Independent