Concept explainers
(a) We know that when flipping a coin, the probability of getting tails is 1/2. Use a tree diagram to find the probability of getting tails twice in a row.
(b) We also know that the probability of rolling a 5 with one die is 1/6. Use tree diagrams to find the probability of getting tails and then rolling a 5 when you flip a coin and then roll a single die.
(c) Based on the results of parts (a) and (b), how do you think you find the probability of two unconnected events occurring consecutively when you know the probability of each occurring individually? (Answer successfully, and you’ve discovered an important rule we’ll study in Section 11-8.)
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