The probability that a 'P and C' question will be asked in IIT JEE is 2 5 and probability question is uploaded is 4 7 . If the probability of getting at least 1 is 2 3 what is the probability that questions from both the topics are asked. Options: A . &nbsp 17 105 B . &nbsp 16 105 C . &nbsp 1 35 D . &nbsp 6 35

Answer: Option A : A P(A U B)= P(A)+ P(B)- P(A intersection B) 2 3 = ( 2 5 ) + ( 4 7 ) − x x = 17 105

The probability that a 'P and C' question will be asked in IIT JEE i

Discussion Forum : Probability I

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.

Options:

A .

\frac{17}{105}

B .

\frac{16}{105}

C .

\frac{1}{35}

D .

\frac{6}{35}

Answer: Option A
:
A

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

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

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

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