Given P(A given B), P(B given A) and P(A and B): find other probabilities

1. A.
   $P\left( E_{1} \cap E_{2} \right) = P\left( E_{1} \right) \cdot P\left( E_{2} \right)$
2. B.
   $P\left( E_{1}' \cap E_{2}' \right) = P\left( E_{1}' \right) \cdot P\left( E_{2} \right)$
3. C.
   $P\left( E_{1} \cap E_{2}' \right) = P\left( E_{1} \right) \cdot P\left( E_{2} \right)$
4. D.
   $P\left( E_{1}' \cap E_{2} \right) = P\left( E_{1} \right) \cdot P\left( E_{2} \right)$

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1. A.
   Both (S1) and (S2) are true
2. B.
   Both (S1) and (S2) are false
3. C.
   Only (S1) is true
4. D.
   Only (S2) is true

Tap an option to check your answer.

1. A.
   $\frac{5}{3}$
2. B.
   $\frac{4}{3}$
3. C.
   $\frac{9}{4}$
4. D.
   $\frac{7}{4}$

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