Class 11

25. Probability question bank (Maths)

Practice 333 free Class 11 Maths - 25. Probability questions with answers and step-by-step solutions.

Q1.

\( A \) and \( B \) are two independent events. The probability that both \( A \) and \( B \) occur is \( \dfrac{1}{6} \) and the probability that neither of them occurs is \( \dfrac{1}{3} \). The probability of occurrence of \( A \) is

(A)
\(\dfrac{1}{2}\)
(B)
\(\dfrac{1}{3}\)
(C)
\(\dfrac{1}{4}\)
(D)
\(\dfrac{1}{6}\)
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Q2.

If \( E \) and \( F \) are two independent events such that \( 0 < P(E) < 1 \) and \( 0 < P(F) < 1 \), then

(A)
\( E \) and \( F \) are mutually exclusive
(B)
\( E \) and \( \overline{F} \) are independent
(C)
\( \overline{E} \) and \( \overline{F} \) are independent
(D)
\( P(E|F) + P(\overline{E}|F) = 1 \)
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