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In a city, 20 % of people watch star news, 40 % watch star plus, 10 %-star sports, and remaining watch discovery. If there is electricity in only 1 house and a channel is being watched. What is the probability that star news is being watched?

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0.5

0.4

0.2

0.1

answer is C.

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Detailed Solution

Suppose E is the event for people were watching star news,
Then total favorable outcomes = N (E)
Overall number of outcomes= N(S)
Thus,

Probability = \frac{N (E)}{N (S)}

Suppose total residents in the city = 100
Thus,

N (S) = 100

As 20% of people watch star news. So favorable outcome.

N (E) = \frac{20}{100} \times 100

N (E) = 20

So, the probability,

Probability = \frac{N (E)}{N (S)}

Probability = \frac{20}{100}

Probability = 0.2
Hence, the correct answer is option (3).

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