Julie’s lolly bag contains two chocolates, two boiled lollies and a gum ball. She eats two of them, randomly, one after the other (that is, with no replacement.) a Use a simple tree diagram to represent this situation.
b What is the probability the lollies she eats will be a chocolate, followed by a boiled lolly?
c What is the probability both the lollies will be the same?
d What is the probability at least one of the lollies will be a chocolate?
e She decides that if the second lolly is the same as the first, she will replace it and try again until she gets a different lolly. What now is the probability at least one of the lollies will be a chocolate?
(Hint: There is no need to extend the tree diagram. Think of what this situation is
equivalent to.)

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)

If y varies as x, and y=8 as x=4 what will be the value of y if x=2

Which of the following inequalities matches the graph? a. 2x+y< 7 b. 2x-y> 7 c. 2x+y< -7 d. the correct inequality is not listed