Lesson Menu Main Idea Example 1:Act it Out

Main Idea/Vocabulary Solve problems by acting it out.

Example 1 GAMES Julia and Carl are playing a game by spinning a spinner with equal sections numbered 1–6 and tossing a coin. What is the probability of spinning a 2 and then tossing a heads? Act It Out UnderstandYou know the theoretical probability that the spinner will land on a 2 is and the theoretical probability that a coin will land on heads is.

Example 1 Plan Spin a spinner with 6 equal sections once and then toss a coin. If the spinner lands on 2 and the coin comes up heads it’s a favorable outcome. Repeat this experiment 10 times. Act It Out

Example 1 The circled column shows that 1 out of 10 trials resulted in the spinner landing on 2 and the coin toss coming up heads. So, the probability is 10%. Solve Spin the spinner and toss the coin and make a table of the results. Act It Out

Example 1 CheckRepeat the experiment several times to see whether the results agree. Act It Out Sample Answer: From the experiment, the probability is The theoretical probability of spinning a 2 and then tossing a coin that comes up heads is This is close to the experimental probability

Example 1 CYP A.Flip two coins; 20%. B.Spin a spinner with 4 equal sections one time; 25%. C.Roll a number cube with numbers 1-6 and flip a coin; 30%. D.Spin a spinner with 4 equal sections two times; 40%. Jen wins an average of 1 out of every 2 games of tennis that she plays with her sister. Which experiment could you use to determine the probability that she wins two games in a row? What is a reasonable result for the experimental probability?