Question
A box contains 6 red, 5 green, and 4 blue balls. Two
balls are drawn randomly. What is the probability that they are of different colors?Solution
Total number of ways to choose 2 balls: 15C2 = 105 Favorable cases: Red-Green: 6 × 5 = 30 Red-Blue: 6 × 4 = 24 Green-Blue: 5 × 4 = 20 Total favorable cases = 30 + 24 + 20 = 74 Probability = 74/105 Correct answer: d.
Which of the following graphical models represents the relationships between entity sets in a database?
Vectors a, b, and c satisfy a ⋅  ( b × c ) = 0, and no two of them are zero. Which of the following is necessarily true?
In order that the lines y = x + 1, 2x - 3y + 5 = 0 and 3x - y + m = 0 may meet in a point, the value of m should be:
A triangular prism has a triangular base with a height of 6 cm and a base length of 8 cm. If the height of the prism is 10 cm, what is the volume of the...
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If the determinant of a 3×3 matrix A is 2, then the determinant of adj(A) is
A bag contains 5 red and 3 green balls. Two balls are drawn at random. Find the probability that both balls are red.
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