Question

The probability that it will rain tomorrow in cities A, B and C is \(60\%\), \(70\%\) and \(80\%\) respectively. Assuming these events are independent, the probability that it will rain tomorrow in at least one of the cities is:

• A. \(\frac{3}{250}\)
• B. \(\frac{244}{250}\)
• C. \(1\)
• D. \(\frac{9}{10}\)

Hint:

Whenever a probability question asks for “at least one”, it is usually much faster to compute \(1 - P(\text{none})\) than to add up all the individual combinations where it rains in exactly one, exactly two, or all three cities.

Answer 1

The Correct Option is B