The frequency of two-wheelers, three-wheelers and four-wheelers going past during a time interval, in front of your school gate is noted. Find the probability that any one vehicle out of the total vehicles you have observed is a two-wheeler.

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\frac{1}{2}

\frac{1}{3}

\frac{2}{3}

None of the above

answer is C.

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Detailed Solution

It is given a table,
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Probability of any event, P(E)

= \frac{n (E)}{n (S)}

Number of favourable outcomes = n(E)
Number of total outcomes = n(S)
Probability of event = P(E)
It is given that the total number of vehicles passing in front of the gate is 198 so the total number of outcomes = n(S)= 198
The favourable outcome is selecting a two-wheeler vehicle.
In the table it is given that number of two-wheeler vehicles that passed the gate, n(E) =132
Probability of event occurring will be,