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प्रश्न
The accompanying Venn diagram shows three events, A, B, and C, and also the probabilities of the various intersections (for instance, P(A ∩ B) = .07). Determine P(A ∪ B)
उत्तर
From the given Venn diagram
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
= 0.13 + 0.07 + 0.07 + 0.10 + 0.15 – 0.07
= 0.13 + 0.07 + 0.10 + 0.15
= 0.45
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| Assignment | ω1 | ω2 | ω3 | ω4 | ω5 | ω6 | ω7 |
| (a) | 0.1 | 0.01 | 0.05 | 0.03 | 0.01 | 0.2 | 0.6 |
| (b) | `1/7` | `1/7` | `1/7` | `1/7` | `1/7` | `1/7` | `1/7` |
| (c) | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 |
| (d) | –0.1 | 0.2 | 0.3 | 0.4 | -0.2 | 0.1 | 0.3 |
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| (iv) |
\[\frac{1}{14}\]
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