Solve the problems below using the “Tree Diagram” strategy.1. Mr. Tea Café serves two desserts, cake and pie. They also serve three beverages, coffee, tea or juice.Suppose you choose one dessert and one beverage. How many possible outcomes are there?2. Five students from different countries meet to plan an international peace ceremony. Each studentshakes the hand of each other student. How many handshakes are there altogether?3. If you toss a coin 2 times, what is the probability of getting 2 heads? Use a tree diagram to find youranswer.4. You are one of the goalkeepers in your soccer team but today’s game depends who is the Coachtoday…with Coach Sam the probability of being Goalkeeper is 0.5 or with Coach Alex the probability ofbeing Goalkeeper is 0.3Sam is Coach more often than Alex... about 6 out of every 10 games (a probability of 0.6).So, what is the probability you will be a Goalkeeper today?
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