Let E1 and E2 be two independent events such that P(E1)=P1 and P(E2)=P

1.	Let E1 and E2 be two independent events such that P(E1)=P1 and P(E2)=P2. Describe in words of the events whose probabilities are (i) P1P2 (ii) (1−P1)P2 (iii) 1−(1−P1)(1−P2) (iv) P1+P2−2P1P2
Answer» Let $E_{1}$ and $E_{2}$ be two independent events such that $P (E_{1}) = P_{1}$ and $P (E_{2}) = P_{2}$ . Describe in words of the events whose probabilities are (i) $P_{1} P_{2}$ (ii) $(1 - P_{1}) P_{2}$ (iii) $1 - (1 - P_{1}) (1 - P_{2})$ (iv) $P_{1} + P_{2} - 2 P_{1} P_{2}$

Let E1 and E2 be two independent events such that P(E1)=P1 and P(E2)=P2. Describe in words of the events whose probabilities are (i) P1P2 (ii) (1−P1)P2 (iii) 1−(1−P1)(1−P2) (iv) P1+P2−2P1P2

Answer»

Let $E_{1}$ and $E_{2}$ be two independent events such that $P (E_{1}) = P_{1}$ and $P (E_{2}) = P_{2}$ . Describe in words of the events whose probabilities are

(i) $P_{1} P_{2}$

(ii) $(1 - P_{1}) P_{2}$

(iii) $1 - (1 - P_{1}) (1 - P_{2})$

(iv) $P_{1} + P_{2} - 2 P_{1} P_{2}$

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Let E1 and E2 be two independent events such that P(E1)=P1 and P(E2)=P2. Describe in words of the events whose probabilities are (i) P1P2 (ii) (1−P1)P2 (iii) 1−(1−P1)(1−P2) (iv) P1+P2−2P1P2

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