Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. HINT [See Example 3.] It appears that there is only a one in four chance that you will be able to take your spring vacation to the Greek Islands. If you are lucky enough to go, you will visit either Corfu (30% chance) or Rhodes. On Rhodes there is a 40% chance of meeting a tall, dark stranger, while on Corfu there is no such chance. P(Go to Corfu and meet a tall, dark stranger) = P(Go to Corfu and meet no tall, dark stranger) = P(Go to Rhodes and meet a tall, dark stranger) = P(Go to Rhodes and meet no tall, dark stranger) = P(No vacation) =

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Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. HINT [See Example 3.]
It appears that there is only a one in four chance that you will be able to take your spring vacation to the Greek Islands. If you are lucky enough to go, you will visit either Corfu (30% chance) or Rhodes. On Rhodes
there is a 40% chance of meeting a tall, dark stranger, while on Corfu there is no such chance.
P(Go to Corfu and meet a tall, dark stranger)
P(Go to Corfu and meet no tall, dark stranger)
P(Go to Rhodes and meet a tall, dark stranger)
P(Go to Rhodes and meet no tall, dark stranger)
P(No
vacation)
=
=
|| || || ||
=
Transcribed Image Text:Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. HINT [See Example 3.] It appears that there is only a one in four chance that you will be able to take your spring vacation to the Greek Islands. If you are lucky enough to go, you will visit either Corfu (30% chance) or Rhodes. On Rhodes there is a 40% chance of meeting a tall, dark stranger, while on Corfu there is no such chance. P(Go to Corfu and meet a tall, dark stranger) P(Go to Corfu and meet no tall, dark stranger) P(Go to Rhodes and meet a tall, dark stranger) P(Go to Rhodes and meet no tall, dark stranger) P(No vacation) = = || || || || =
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