Test Index

Probability

Question : 121 of 127

Marks: +1, -0

\frac{1}{5}

\frac{2}{3}

Solution:

Concept:

If events are mutually exclusive, probability of neither event is

1 - (P(A) + P(B))

Explanation:

Given

P(\text{plane}) = \frac{1}{5}

and

P(\text{train}) = \frac{2}{3}

The person cannot travel by both modes simultaneously, so the events are mutually exclusive.

Probability of traveling by plane or train is

P(\text{plane}) + P(\text{train}) = \frac{1}{5} + \frac{2}{3} = \frac{3}{15} + \frac{10}{15} = \frac{13}{15}

Probability of traveling neither is

1 - \frac{13}{15} = \frac{2}{15}

Answer:

\frac{2}{15}

Go to Question:

Prev Question

Next Question