Question

The probability of rain today is $60$ percent$,$ and the independent probability of rain tomorrow is $75$ percent$.$ Calculate the probability that it will rain neither today nor tomorrow$.$

• A. $10\%$
• B. $15\%$
• C. $45\%$
• D. $55\%$

Answer 1

The correct option is A

$10\%$

Explanation for the correct option:

Let us consider $100\%=1$

Probability of rain today$=60\%$

$=0.6$

Probability of no rain today $=40\%$

$=0.4$

Probability of rain tomorrow $=75\%$

Probability of no rain tomorrow $=25\%$

$=0.25$

Probability of no rain today or tomorrow $=0.4\times 0.25$

Probability of no rain today or tomorrow $=0.1$

Probability of no rain today or tomorrow $=10\%$

Hence, the probability that it will rain neither today nor tomorrow is $10\%$$.$

Hence, option (A) is the correct option.