Q49 Prep 3 Algebra Question Bank

S is the sample space of a random experiment where its outcomes are equal, A and B are two events from S.

If the number of outcomes that leads to the occurrence of the event A equals 13 and the number of all possible outcomes of the random experiment is \( 24 \), \( P(A \cup B) = \frac{5}{6} \) and \( P(B) = \frac{5}{12} \). Find:

1. The probability of occurrence of the event A

(a) \( \frac{11}{24} \)

(b) \( \frac{13}{24} \)

(c) \( \frac{5}{12} \)

(d) \( \frac{7}{12} \)

2. The probability of occurrence of the event A and B together

(a) \( \frac{1}{6} \)

(b) \( \frac{1}{8} \)

(c) \( \frac{3}{8} \)

(d) \( \frac{5}{24} \)

1. Correct answer: (b) \( \frac{13}{24} \)

2. Correct answer: (b) \( \frac{1}{8} \)

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