Question

The probability that a 'P and C' question will be asked in IIT JEE is $\frac{2}{5}$ and probability question is uploaded is $\frac{4}{7}$. If the probability of getting at least 1 is $\frac{2}{3}$ what is the probability that questions from both the topics are asked.

• A. $\frac{17}{105}$
• B. $\frac{16}{105}$
• C. $\frac{1}{35}$
• D. $\frac{6}{35}$

Answer 1

The correct option is A $\frac{17}{105}$

P(A U B)= P(A)+ P(B)- P(A intersection B)

$\frac{2}{3}=\left(\frac{2}{5}\right)+\left(\frac{4}{7}\right)-x$

$x=\frac{17}{105}$