Compound Events & Sample Spaces

Jack’s Table

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Jack’s Table

Jack conducted a multistage experiment in which he rolled a number cube and tossed a coin. Jack made this table to represent the sample space.

  • How many outcomes would there be if Jack had only rolled the number cube?
  • How many outcomes would there be if Jack had only tossed the coin?
  • How many outcomes does the table show in the sample space for both events?
  • What is the probability that Jack will get a 1 and heads?
         P(1 and heads)
  • What is the probability that Jack will get a 1 and tails?
         P(1 and tails)?
  • How many outcome cells do you see in the table?
  • How many times do you see 1 and heads?
  • How can you use the quantities from the previous two questions to calculate the probability?