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%

Solution

## The correct option is D $$14\%$$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 $$=14\%$$Mathematics

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