A bag contains 5 blacks balls and 3 red balls. Two balls are picked at random without replacement. What is the probability that a black and red balls are picked?
The result of tossing a fair die 120 times is summarized below. Find the value of x
| Number | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 12 | 20 | x | 21 | x - 1 | 28 |
An arc of a circle of length 22 cm subtends an angle of 3x° at the center of the circle. Find the value of x if the diameter of the circle is 14 cm
Find the value of α\(^2\) + β\(^2\) if α + β = 2 and the distance between points (1, α) and (β, 1) is 3 units
