Question

Given that the probability of raining sometime on Monday is $\frac{1}{3}$ and the independent probability of raining sometime on Tuesday is $\frac{1}{2}$, then the probability that it will rain on both days is:

• A. $\frac{1}{6}$
• B. $\frac{1}{5}$
• C. $\frac{1}{3}$
• D. $\frac{2}{5}$
• E. $\frac{5}{6}$

Answer 1

Answer: (A)

$\frac{1}{6}$

• Since given two probabilities are independent
  
• The probability that rain will fall on both Monday and Tuesday is $1/3\times 1/2=1/6$