Question

On a certain day the chance of rain is $80\%$ in Delhi and $30\%$ in Hyderabad. Assume that the chance of rain in the two cities is independent. What is the probability that it will not rain in either city?

• A. $7\%$
• B. $14\%$
• C. $24\%$
• D. $50\%$

Answer 1

Answer: (B)

$14\%$

Probability that it will not rain in Delhi $=100\%–80\%$

$=20\%=0.2$

Probability that it will not rain in Hyderabad $=100\%–30\%$

$=70\%=0.7$

Since the chances of rain in both cities is independent

$\therefore$ Probability that it will not rain in either city $=0.2\times 0.7$

$=0.14$

$\therefore$ Probability that it will not rain in either city $=14\%$