Which of the following pairs of events are independent? Select all that apply. A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds. B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts. C. Roll a number cube. Then roll again if the first roll is a 6 Roll a 2 on a number cube and spin a 3 on a spinner. E. Events A and B, where P(A) = 0.4. P(B) = 0.2, and P(A and B) = 0.8. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.​

You are a clerk at convenience store. a customer owes 11.69 for a bag of potatoes chips. she gives you a five dollar bill. how much change should the customer receive?

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

Factor the polynomial. b^2 + 4b + 4