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A TV remote control has keys for channels 0 through 9.

​a) If a key is selected at​ random, what is the probability that the key for channel 8 is​ pressed?

​b) If a key is selected at​ random, what is the probability that the key for an even number is​ pressed?

11.1 #12

​c) If a key is selected at​ random, what is the probability that the key for a number more than 6 is​ pressed?

1 Answer

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Answer:

a) 0.1

b) 0.5

c) 0.3

Explanation:

A TV remote control has keys for channels 0 through 9.

So, the total possible outcomes = 10

​a) If a key is selected at​ random, what is the probability that the key for channel 8 is​ pressed?

the possible outcome of 8 = 1

P(8) = (the possible outcome of 8)/(total outcomes) = 1/10 = 0.1

​b) If a key is selected at​ random, what is the probability that the key for an even number is​ pressed?

The even numbers are = 0 , 2 , 4 , 6 , 8

the possible outcome of even number = 5

P(even number) = 5/10 = 1/2 = 0.5

​c) If a key is selected at​ random, what is the probability that the key for a number more than 6 is​ pressed?

The numbers more than 6 are = 7 , 8 , 9

the possible outcome of more than 6 = 3

P(numbers more than 6) = 3/10 = 0.3

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