Five mark exercise problem IX — task. Mathematics State Board, Class 10.

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$A$ ,

$B$ ,

$C$ are any three events such that the probability of

$B$ is twice as that of probability of

$A$ and probability of

$C$ is thrice as that of probability of

$A$ and if

$P(A \cap B) = \frac{1}{6}$ ,

$P(B \cap C) = \frac{1}{4}$ ,

$P(A \cap C) = \frac{1}{8}$ ,

$P(A \cup B \cup C) = \frac{9}{10}$ ,

$P(A \cap B \cap C) = \frac{1}{15}$ , then find

$P(A)$ ,

$P(B)$ and

$P(C)$ ?

Answer:

$P(A) =$

$\frac{i}{i}$

$P(B) =$

$\frac{i}{i}$

$P(C) =$

$\frac{i}{i}$

[Note: Enter numerator and denominator in simplified form.]

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21. Five mark exercise problem IX