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प्रश्न
If A and B are two candidates seeking admission in an engineering College. The probability that A is selected is .5 and the probability that both A and B are selected is at most .3. Is it possible that the probability of B getting selected is 0.7?
विकल्प
True
False
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उत्तर
This statement is False.
Explanation:
Given that P(A) = 0.5 and P(A ∩ B) ≤ 0.3
Now P(A) × P(B) ≤ 0.3
⇒ 0.5 × P(B) ≤ 0.3
⇒ `P(B) ≤ 0.3/0.5`
⇒ P(B) ≤ 0.6
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| (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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