MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
IF_THEN,?$ |
| A. | P(a) > P(b) |
| B. | P(a) > P(b) |
| C. | P(a) = P(b) |
| D. | P(~A) less than P(~B) |
| Answer» D. P(~A) less than P(~B) | |
| 2. |
If A is a perfect subset of B and P(a < Pb), then P(B – A) is equal to$# |
| A. | P(a) / P(b) |
| B. | P(a)P(b) |
| C. | P(a) + P(b) |
| D. | P(b) – P(a) |
| Answer» E. | |
| 3. |
If_A_is_a_subset_of_B_then,$ |
| A. | P(a) is greater than P(b) |
| B. | P(~A) is greater than or equal to P(~B) |
| C. | P(b) is equal to P(a) |
| D. | P(b) is equal to P(~B) |
| Answer» C. P(b) is equal to P(a) | |
| 4. |
What is the probability of an impossible event? |
| A. | 0 |
| B. | 1 |
| C. | Not defined |
| D. | Insufficient data |
| Answer» B. 1 | |
| 5. |
In a sample space S, if P(a) = 0, then A is independent of any other even? |
| A. | True |
| B. | False |
| Answer» B. False | |
| 6. |
Let A and B be two events such that the occurrence of A implies occurrence of B, But not vice-versa, then the correct relation between P(a) and P(b) is |
| A. | P(A) < P(B) |
| B. | P(B) ‚â• P(A) |
| C. | P(A) = P(B) |
| D. | P(A) ‚â• P(B) |
| Answer» C. P(A) = P(B) | |
| 7. |
If A and B are two mutually exclusive events with P(~A) = 5‚ÅÑ6 and P(b) = 1‚ÅÑ3 then P(A /~B) is equal to$ |
| A. | <sup>1</sup>‚ÅÑ<sub>4</sub> |
| B. | <sup>1</sup>‚ÅÑ<sub>2</sub> |
| C. | 0, since mutually exclusive |
| D. | <sup>5</sup>‚ÅÑ<sub>18</sub> |
| Answer» B. <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> | |
| 8. |
Let A and B be two events such that P(A) = 1‚ÅÑ5 While P(A or B) = 1‚ÅÑ2. Let P(B) = P. For what values of P are A and B independent?$ |
| A. | <sup>1</sup>‚ÅÑ<sub>10</sub> and <sup>3</sup>‚ÅÑ<sub>10</sub> |
| B. | <sup>3</sup>‚ÅÑ<sub>10</sub> and <sup>4</sup>‚ÅÑ<sub>5</sub> |
| C. | <sup>3</sup>‚ÅÑ<sub>8</sub> only |
| D. | <sup>3</sup>‚ÅÑ<sub>10</sub> |
| Answer» D. <sup>3</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>10</sub> | |
| 9. |
A problem in mathematics is given to three students A, B and C . If the probability of A solving the problem is 1‚ÅÑ2 and B not solving it is 1‚ÅÑ4 . The whole probability of the problem being solved is 63‚ÅÑ64 then what is the probability of solving it ?$ |
| A. | <sup>1</sup>‚ÅÑ<sub>8</sub> |
| B. | <sup>1</sup>‚ÅÑ<sub>64</sub> |
| C. | <sup>7</sup>‚ÅÑ<sub>8</sub> |
| D. | <sup>1</sup>‚ÅÑ<sub>2</sub> |
| Answer» D. <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> | |
| 10. |
A and B are two events such that P(A) = 0.4 and P(A ‚à© B) = 0.2 Then P(A ‚à© B) is equal to |
| A. | 0.4 |
| B. | 0.2 |
| C. | 0.6 |
| D. | 0.8 |
| Answer» B. 0.2 | |