1. An experiment has four equally likely outcomes: E1, E2, E3, E4. 1. What is the probability that E2 occurs? 2. What is the probability that E2 or E3 occurs? 3. Sketch a (uniform) discrete probability mass density function for this experiment 2. Consider a standard deck of playing cards with 52 cards to pull, all being equally likely. 1. What is the probability of drawing an ace? 2. What is the probability of drawing an ace or queens? 3. What is the probability of drawing any spades? 4. What is the probability of drawing any spades or clubs? In addition to noting the respective probabilities, either (1) draw a Venn Diagram or (2) list out the pertinent outcomes that define the above events using the curly bracket 'event notation', P{.,.,.,}. Use whichever you find more intuitive, provided it correctly depicts the probability distribution of the outcomes correctly. 3. Mountain Equipment Coop here in Halifax conducted a survey of buyers and which sports activities they are most interested in. The number of survey respondents is in thousands (000), with respondents divided into male and female.