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-

P(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 XIII

Mathematics

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The probabili...

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.

\frac{17}{105}

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\frac{16}{105}

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\frac{1}{35}

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\frac{6}{35}

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Solution

The correct option is A $\frac{17}{105}$
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 will 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 17105P(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 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.

The correct option is A $\frac{17}{105}$
P(A U B)= P(A)+ P(B)- P(A intersection B)

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

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