MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In a bucket there are 5 purple, 15 grey and 25 green balls. If the ball is picked up randomly, find the probability that it is neither grey nor purple? |
| A. | \(\frac{5}{9}\) |
| B. | \(\frac{12}{13}\) |
| C. | \(\frac{51}{43}\) |
| D. | \(\frac{2}{7}\) |
| Answer» B. \(\frac{12}{13}\) | |
| 2. |
What is the possibility such that the inequality x2 + b > ax is true, when a=32.4 and b=76.5 and x∈[0,30]. |
| A. | 1.91 |
| B. | 4.3 |
| C. | 2.94 |
| D. | 6.1 |
| Answer» B. 4.3 | |
| 3. |
Find the expectation for how many bacteria there are per field if there are 2350 bacteria are randomly distributed over 340 fields (all having the same size) next to each other. |
| A. | 4.98 |
| B. | 3.875 |
| C. | 6.91 |
| D. | 7.37 |
| E. | next to each other.a) 4.98b) 3.875c) 6.91d) 7.37 |
| Answer» D. 7.37 | |
| 4. |
Suppose a rectangle edges equals i = 4.7 and j = 8.3. Now, a straight line drawn through randomly selected two points K and L in adjacent rectangle edges. Find the condition for the probability such that the drawn triangle area is smaller than c = 9.38. |
| A. | K-L≤18.76 |
| B. | K+L≤18.76 |
| C. | KL≤18.76 |
| D. | K/L≤18.76 |
| Answer» D. K/L≤18.76 | |
| 5. |
The probability that it rains tomorrow is 0.72. Find the probability that it does not rain tomorrow? |
| A. | 65% |
| B. | 43% |
| C. | 28% |
| D. | 32% |
| Answer» D. 32% | |
| 6. |
What is variance of a geometric distribution having parameter p=0.72? |
| A. | 54% |
| B. | 76% |
| C. | 13% |
| D. | 69% |
| Answer» B. 76% | |
| 7. |
A football player has a 45% chance of getting a hit on any given pitch. What is the probability that the player earns a hit ignoring the balls before he strikes out (that requires four strikes)? |
| A. | 0.36 |
| B. | 0.95 |
| C. | 0.67 |
| D. | 0.59 |
| Answer» C. 0.67 | |
| 8. |
A programmer has a 95% chance of finding a bug every time she compiles his code, and it takes her three hours to rewrite the code every time she discovers a bug. Find the probability that she will finish her program by the end of her workday. (Assume that a workday is 9 hours) |
| A. | 76% |
| B. | 44% |
| C. | 37% |
| D. | 28% |
| Answer» E. | |
| 9. |
A ball is thrown at a circular bin such that it will land randomly over the area of the bin. Find the probability that it lands closer to the center than to the edge? |
| A. | 51% |
| B. | 25% |
| C. | 72% |
| D. | 34% |
| Answer» C. 72% | |
| 10. |
Suppose, R is a random real number between 5 and 9. What is the probability R is closer to 5 than it is to 6? |
| A. | 12.5% |
| B. | 18% |
| C. | 73% |
| D. | 39.8% |
| Answer» B. 18% | |