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In the first episode of a reality show, contestants had to spin two wheels of fate. Spinning the first wheel determined the remote location where contestants would reside for the duration of the season. Spinning the second wheel determined which "bonus survival tool" they would be allowed to bring, along with a few other necessary items. A tent Matches Desert 2 2 Rainforest 4 4 What is the probability that a randomly selected participant spun the first wheel and landed on rainfore or spun the second wheel and landed on matches? Simplify any fractions.

Respuesta :

We need to find the following probability:

[tex]P(\text{RAINFOREST }\cup MATCHES)[/tex]

which is equal to

[tex]P(\text{RAINFOREST }\cup MATCHES)=P(\text{RAINFOREST})+P(MATCHES)-P(\text{RAINFOREST }\cap MATCHES)[/tex]

from our table, we get

[tex]P(\text{RAINFOREST }\cup MATCHES)=\frac{8}{12}+\frac{6}{12}-\frac{4}{12}[/tex]

then, the answer is

[tex]P(\text{RAINFOREST }\cup MATCHES)=\frac{10}{12}=\frac{5}{6}[/tex]

so, the answer is 5/6

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