There are 300 raffle tickets. The prizes are as follows: First prize - voucher for meal at local restaurant Second prize - food hamper Third prize - chocolate cake 4x homemade jams 3x homemade pickles A prize is won after the first raffle ticket is drawn.  What is the probability of winning a prize when the next ticket is drawn?

2/299

Step-by-step explanation:

there were 300 tickets and 1 is out .    299 tickets left

There were 3 prizes and 1 is out.  2 prizes left.

The probability of winning ANY prize when next ticket is drawn   is

P(prize) =2/299

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.