Probability · Class 11 · CBSE · Science Mathematics
For a fair die, let A be the event of obtaining an even number and B be the event of obtaining 5. Find P(A ∪ B) using the addition theorem and state…
Practice question from Probability (Class 11 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
medium · Subjective · Q-100049
For a fair die, let A be the event of obtaining an even number and B be the event of obtaining 5. Find P(A ∪ B) using the addition theorem and state whether A and B are mutually exclusive.
Answer: A = {2, 4, 6} and B = {5}, so A and B are mutually exclusive because A ∩ B = ∅. Therefore, P(A ∪ B) = P(A) + P(B) = 3/6 + 1/6 = 2/3.
Solution
The events have no common outcome, so . By the addition theorem, .
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