In a certain video game, a player is confronted with a serie…

In a certain video game, a player is confronted with a series of 4 opponents and a(n) 83% probability of defeating each opponent. Assume that the results from opponents are independent (and that when the player is defeated by an opponent the game ends). What is the probability that a player defeats all 4 opponents in a game?  Express your answer to 4 decimal places.

A player of a video game is confronted with a series of 4 op…

A player of a video game is confronted with a series of 4 opponents and a(n) 83% probability of defeating each opponent. Assume that the results from opponents are independent (and that when the player is defeated by an opponent the game ends). What is the probability that a player defeats at least 2 opponents in a game? Express your answer to 4 decimal places.

Your friend asks for help figuring out how to spend the leas…

Your friend asks for help figuring out how to spend the least amount of money on vitamins.  She needs at least 60 units of vitamin A, 40 units of vitamin B, and 140 units of vitamin C each week. She can choose between 2 brands of tablets. The first option costs 5 cents per tablet and contains 3 units of vitamin A, 1 unit of vitamin B, and 2 units of vitamin C.  The second option costs 7 cents per tablet and contains 1 unit of vitamin A, 1 unit of vitamin B, and 5 units of vitamin C. How many tablets of each kind should she buy to minimize cost, and what is the minimum cost?