The probability that a -P and C- question wil 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-

The correct option is A 17/105P(A U B)= P(A)+ P(B) P(A intersection B) 2 3= (2 5)+(4 7) x x= 17 105 ...

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Standard XI

Mathematics

Axiomatic Approach

The probabili...

Question

The probability that a 'P and C' question wil 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.

17/105

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Solution

The correct option is A 17/105
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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The probability that a 'P and C' question wil be asked in IIT JEE is 25 and probability question is uploaded is 47. If the probability of getting at least 1 is 23 what is the probability that questions from both the topics are asked.

The correct option is A 17/105P(A U B)= P(A)+ P(B)- P(A intersection B) 23=(25)+(47)−x x=17105

The probability that a 'P and C' question wil 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.

The correct option is A 17/105
P(A U B)= P(A)+ P(B)- P(A intersection B)

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

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