Q2.1

MCQMarks unknown

Consider two events $E_1$ and $E_2$ such that probability of $E_1$ , $P_r[E_1]=\frac{1}{2}$ , probability of $E_2$ , $P_r[E_{2}]=\frac{1}{3}$ , and probability of $E_1$ , and $E_2$ , $P_r[E_1 \: and \: E_2] = \frac{1}{5}$ . Which of the following statements is/are true?

(A)

$P_r[E_1\: \text{or} \:E_2] \text{ is } \frac{2}{3}$

(B)

Events $E_1$ and $E_2$ are independent

(C)

Events $E_1$ and $E_2$ are not independent

(D)

$P_r \left[{E_1}\mid{E_2} \right] = \frac{4}{5}$

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