(a) Lisa bought 28 cookies. What is the probability she will win the dinner for two? The winner is picked by random draw, so each number is equally likely to be drawn. Recall that probability based on equally likely outcomes uses the following formula. probability of event= number of outcomes favorable to event /total number of outcomes Here we wish to find the probability that Lisa wins.
P(Lisa wins) = outcomes where one of Lisa's numbers is picked/total number of outcomes
The club sold a total of 779 cookies, each with a different number, so the total number of possible outcomes is X Lisa purchased 28 of the 779 cookies and she will win if any of those 28 numbers are selected. In other words, she wins if the drawn number is selected from her 28 numbers. There are C28,1 = ____ ways to draw 1 of Lisa's 28 numbers. Therefore, there are_____ outcomes where one of Lisa's numbers is picked.