Probability 1 Question 18
26. If and are chosen randomly from the set with replacement, determine the probability that the roots of the equation are real.
(1997, 5M)
Show Answer
Answer:
Correct Answer: 26.
Solution:
- The required probability
(probability of the event that the roots of are non-real).
The roots of
The possible values of
Value of |
Value of |
Number of pairs of |
---|---|---|
1 | 1 | 1 |
2 | 1,2 | 3 |
3 | 3 | |
5 | 4 | |
6 | 4 | |
7 | 5 | |
9 | 5 | |
10 | 5 |
Therefore, the number of possible pairs
Also, the total number of possible pairs is